FI 3103 Quantum Physics
|
|
- Annice Neal
- 5 years ago
- Views:
Transcription
1 10/10/014 FI 3103 Quantum Physics Alxandr A. Iskandar Physics of Magntism and Photonics Rsarch Group Institut Tknologi Bandung 1D Potntials Doubl Potntial Wll Alxandr A. Iskandar 1D Potntials 1
2 10/10/014 Doubl Wll Potntial Considr a systm of two idntical wll sparatd by a distanc that is largr than th width of th wlls. Rcall that in th singl wll cas of th lowst nrgy solution (vn parity), th cosin wav function must match th falling xponntial dcay, thus th cosin function dtrmins th rat of th falling xponntials, which in turn dtrmins th binding nrgy. In th doubl wll cas, th xponntial dcay can fall of mor rapidly and still match with th fairly flat wav function in th rgion btwn th wlls. Fast dcay bcaus of larg binding nrgy Alxandr A. Iskandar 1D Potntials 3 Doubl Wll Potntial Fast dcay bcaus of larg binding nrgy Thus, bcaus of th fast xponntial dcay of th tails, th doubl wll potntial can bind particl mor strongly than th singl wll potntial. This is not bcaus that th doubl wll is somwhat strongr than th singl wll, but bcaus w can maintain an almost constant wav function btwn th wlls. And this mans that th bound particl has a high probability of bing anywhr btwn th potntials. Alxandr A. Iskandar 1D Potntials 4
3 10/10/014 Doubl Wll Potntial Whn th wlls ar far apart, thn a particl that is bound in, say, th right wll dos not know that thr is a wll on th lft, and vic vrsa. If th wav function for this right-boundd particl is u R (, and u L ( for th lft-boundd particl, thn a symmtric and antisymmtric wav functions can b formd as follows u vn 1 N 1 uodd( u R u No with som normalization constants. u u R L L Alxandr A. Iskandar 1D Potntials 5 Doubl Wll Potntial Bcaus thr is a small ovrlap of th wav functions u R (, and u L (, th ignvalus of ths wav functions ar not xactly th sam. Thus, u R (, and u L ( do not rprsnt stationary stats. For xampl, th wav function of particl that is localizd on th right will b approximatly givn by If this is th wav function of th systm at t = 0, thn at latr tim th wav function will b with E E o E u C u u u( x, t) C u C vn ie t vn u ie t vn odd u u odd odd ieot iet Alxandr A. Iskandar 1D Potntials 6 3
4 10/10/014 Doubl Wll Potntial iet Aftr a tim t such that 1, i.. t E th wav function bcoms on that is approximatly localizd on th lft sid. Thus th particl oscillats btwn th two wlls with angular frquncy E E o E This phnomna is obsrvd in th ammonia molcul (NH 3 ), whr th thr H nucli forms a triangular bas of a pyramid and th N nuclus oscillats btwn th two apxs of th pyramid. Alxandr A. Iskandar 1D Potntials 7 Considr th potntial barrir givn by V 0 V 0 ( 0 x a x a x a W considr only th cas E < V 0, thn insid th barrir th Schrodingr quation givs d m u dx Whos solution is givn as u( A x B ( 0 x, E V 0 a a E V u 0 for x a m( E V0 ) x Alxandr A. Iskandar 1D Potntials 8 4
5 10/10/014 And th solution at th outsid rgions ar u( ikx R ikx, for x a ikx u( T, for x a me with k Ths solutions ar similar to th potntial wll cas, with th rplacmnt of q i, thus w can rad off th transmission cofficint as ika k T k cosh a i k sinh a Alxandr A. Iskandar 1D Potntials 9 T ika k k cosh a i k sinh a Which implis that th probability flux is proportional to k T k k sinh a Whn a >> 1, sinh a ½ a, and 4k 4a T k i.. thr is transmission vn though th nrgy lis blow th top barrir, this tunnling is a quantum mchanical phnomna. Not that th wav function dos not vanish insid th barrir, hnc thr is som probability of finding th particl with ngativ kintic nrgy. How is this possibl? Alxandr A. Iskandar 1D Potntials 10 5
6 10/10/014 To ovrcom this paradox, w look at th uncrtainty principl. An xprimnt to study th particl insid th potntial barrir must b abl to localizd with accuracy x a. This masurmnt will transfr to th particl momntum, with an uncrtainty p a which corrspond to a transfr of nrgy E 8ma In ordr to obsrv th ngativ kintic nrgy, this uncrtainty must b much lss than E V 0, thus E m 8ma Which implis a >> 1, undr this circumstancs, th quantity to b masurd T is vanishingly small. Alxandr A. Iskandar 1D Potntials 11 Th approximat ratio of transmittd probability flux with rspct to th incidnt probability is xtrmly snsitiv to th width of th barrir (a) and to th amount by which th barrir xcd th incidnt nrgy, sinc ma a ( V 0 E) 1 Alxandr A. Iskandar 1D Potntials 1 6
7 10/10/014 Irrgular In gnral, th potntial barrir is not squar. Th propr way to study an irrgular shap barrir is with Wntzl-Kramrs-Brillouin (WKB) approximation. Howvr, w wantd to know th transmission probability cofficint T through this irrgular shap barrir. Obsrv, that th approximat xprssion 4k 4a T k consist of a product of a pr-factor and a rapidly dcaying xponntial. W can isolat this rapid variation by writing ln T const a i.. th nrgy dpndnt factor multiplis th width a. Alxandr A. Iskandar 1D Potntials 13 Irrgular A smooth curvd barrir, can b considrd as a juxtaposition of th squar potntial barrirs. Th total transmission probability is a product of all transmission probabilitis of ach squar potntials. Thus, th ovrall transmission cofficint is a product of th transmission cofficint of a singl barrir, ln T slics x n is th slic width and is th avrag valu of for that barrir. Alxandr A. Iskandar 1D Potntials 14 ln T slic x n n n 7
8 10/10/014 Irrgular For a continuous summation, th abov bcoms And hnc, T ln T dx barrir C xp barrir dx m V E m V E Alxandr A. Iskandar 1D Potntials 15 8
Lecture 3: Diffusion: Fick s first law
Lctur 3: Diffusion: Fick s first law Today s topics What is diffusion? What drivs diffusion to occur? Undrstand why diffusion can surprisingly occur against th concntration gradint? Larn how to dduc th
More informationNew Basis Functions. Section 8. Complex Fourier Series
Nw Basis Functions Sction 8 Complx Fourir Sris Th complx Fourir sris is prsntd first with priod 2, thn with gnral priod. Th connction with th ral-valud Fourir sris is xplaind and formula ar givn for convrting
More informationQuestion 3: How do you find the relative extrema of a function?
ustion 3: How do you find th rlativ trma of a function? Th stratgy for tracking th sign of th drivativ is usful for mor than dtrmining whr a function is incrasing or dcrasing. It is also usful for locating
More informationPhysics 106 Lecture 12. Oscillations II. Recap: SHM using phasors (uniform circular motion) music structural and mechanical engineering waves
Physics 6 Lctur Oscillations II SJ 7 th Ed.: Chap 5.4, Rad only 5.6 & 5.7 Rcap: SHM using phasors (unifor circular otion) Physical pndulu xapl apd haronic oscillations Forcd oscillations and rsonanc. Rsonanc
More informationhttp://www.wwnorton.com/chemistry/tutorials/ch14.htm Repulsive Force
ctivation nrgis http://www.wwnorton.com/chmistry/tutorials/ch14.htm (back to collision thory...) Potntial and Kintic nrgy during a collision + + ngativly chargd lctron cloud Rpulsiv Forc ngativly chargd
More informationSection 7.4: Exponential Growth and Decay
1 Sction 7.4: Exponntial Growth and Dcay Practic HW from Stwart Txtbook (not to hand in) p. 532 # 1-17 odd In th nxt two ction, w xamin how population growth can b modld uing diffrntial quation. W tart
More informationTraffic Flow Analysis (2)
Traffic Flow Analysis () Statistical Proprtis. Flow rat distributions. Hadway distributions. Spd distributions by Dr. Gang-Ln Chang, Profssor Dirctor of Traffic safty and Oprations Lab. Univrsity of Maryland,
More informationEcon 371: Answer Key for Problem Set 1 (Chapter 12-13)
con 37: Answr Ky for Problm St (Chaptr 2-3) Instructor: Kanda Naknoi Sptmbr 4, 2005. (2 points) Is it possibl for a country to hav a currnt account dficit at th sam tim and has a surplus in its balanc
More informationME 612 Metal Forming and Theory of Plasticity. 6. Strain
Mtal Forming and Thory of Plasticity -mail: azsnalp@gyt.du.tr Makin Mühndisliği Bölümü Gbz Yüksk Tknoloji Enstitüsü 6.1. Uniaxial Strain Figur 6.1 Dfinition of th uniaxial strain (a) Tnsil and (b) Comprssiv.
More informationAP Calculus AB 2008 Scoring Guidelines
AP Calculus AB 8 Scoring Guidlins Th Collg Board: Conncting Studnts to Collg Succss Th Collg Board is a not-for-profit mmbrship association whos mission is to connct studnts to collg succss and opportunity.
More informationCPS 220 Theory of Computation REGULAR LANGUAGES. Regular expressions
CPS 22 Thory of Computation REGULAR LANGUAGES Rgular xprssions Lik mathmatical xprssion (5+3) * 4. Rgular xprssion ar built using rgular oprations. (By th way, rgular xprssions show up in various languags:
More informationby John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia
Studnt Nots Cost Volum Profit Analysis by John Donald, Lcturr, School of Accounting, Economics and Financ, Dakin Univrsity, Australia As mntiond in th last st of Studnt Nots, th ability to catgoris costs
More informationQUANTITATIVE METHODS CLASSES WEEK SEVEN
QUANTITATIVE METHODS CLASSES WEEK SEVEN Th rgrssion modls studid in prvious classs assum that th rspons variabl is quantitativ. Oftn, howvr, w wish to study social procsss that lad to two diffrnt outcoms.
More information(Analytic Formula for the European Normal Black Scholes Formula)
(Analytic Formula for th Europan Normal Black Schols Formula) by Kazuhiro Iwasawa Dcmbr 2, 2001 In this short summary papr, a brif summary of Black Schols typ formula for Normal modl will b givn. Usually
More informationFactorials! Stirling s formula
Author s not: This articl may us idas you havn t larnd yt, and might sm ovrly complicatd. It is not. Undrstanding Stirling s formula is not for th faint of hart, and rquirs concntrating on a sustaind mathmatical
More informationThe example is taken from Sect. 1.2 of Vol. 1 of the CPN book.
Rsourc Allocation Abstract This is a small toy xampl which is wll-suitd as a first introduction to Cnts. Th CN modl is dscribd in grat dtail, xplaining th basic concpts of C-nts. Hnc, it can b rad by popl
More informationSPECIAL VOWEL SOUNDS
SPECIAL VOWEL SOUNDS Plas consult th appropriat supplmnt for th corrsponding computr softwar lsson. Rfr to th 42 Sounds Postr for ach of th Spcial Vowl Sounds. TEACHER INFORMATION: Spcial Vowl Sounds (SVS)
More informationEFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS
25 Vol. 3 () January-March, pp.37-5/tripathi EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS *Shilpa Tripathi Dpartmnt of Chmical Enginring, Indor Institut
More informationBasis risk. When speaking about forward or futures contracts, basis risk is the market
Basis risk Whn spaking about forward or futurs contracts, basis risk is th markt risk mismatch btwn a position in th spot asst and th corrsponding futurs contract. Mor broadly spaking, basis risk (also
More informationForeign Exchange Markets and Exchange Rates
Microconomics Topic 1: Explain why xchang rats indicat th pric of intrnational currncis and how xchang rats ar dtrmind by supply and dmand for currncis in intrnational markts. Rfrnc: Grgory Mankiw s Principls
More informationFinancial Mathematics
Financial Mathatics A ractical Guid for Actuaris and othr Businss rofssionals B Chris Ruckan, FSA & Jo Francis, FSA, CFA ublishd b B rofssional Education Solutions to practic qustions Chaptr 7 Solution
More informationFundamentals: NATURE OF HEAT, TEMPERATURE, AND ENERGY
Fundamntals: NATURE OF HEAT, TEMPERATURE, AND ENERGY DEFINITIONS: Quantum Mchanics study of individual intractions within atoms and molculs of particl associatd with occupid quantum stat of a singl particl
More informationIncomplete 2-Port Vector Network Analyzer Calibration Methods
Incomplt -Port Vctor Ntwork nalyzr Calibration Mthods. Hnz, N. Tmpon, G. Monastrios, H. ilva 4 RF Mtrology Laboratory Instituto Nacional d Tcnología Industrial (INTI) Bunos irs, rgntina ahnz@inti.gov.ar
More informationLong run: Law of one price Purchasing Power Parity. Short run: Market for foreign exchange Factors affecting the market for foreign exchange
Lctur 6: Th Forign xchang Markt xchang Rats in th long run CON 34 Mony and Banking Profssor Yamin Ahmad xchang Rats in th Short Run Intrst Parity Big Concpts Long run: Law of on pric Purchasing Powr Parity
More informationVibrational Spectroscopy
Vibrational Spctroscopy armonic scillator Potntial Enrgy Slction Ruls V( ) = k = R R whr R quilibrium bond lngth Th dipol momnt of a molcul can b pandd as a function of = R R. µ ( ) =µ ( ) + + + + 6 3
More informationCategory 7: Employee Commuting
7 Catgory 7: Employ Commuting Catgory dscription This catgory includs missions from th transportation of mploys 4 btwn thir homs and thir worksits. Emissions from mploy commuting may aris from: Automobil
More informationCurrent and Resistance
Chaptr 6 Currnt and Rsistanc 6.1 Elctric Currnt...6-6.1.1 Currnt Dnsity...6-6. Ohm s Law...6-4 6.3 Elctrical Enrgy and Powr...6-7 6.4 Summary...6-8 6.5 Solvd Problms...6-9 6.5.1 Rsistivity of a Cabl...6-9
More informationVan der Waals Forces Between Atoms
Van dr Waals Forcs twn tos Michal Fowlr /8/7 Introduction Th prfct gas quation of stat PV = NkT is anifstly incapabl of dscribing actual gass at low tpraturs, sinc thy undrgo a discontinuous chang of volu
More informationAdverse Selection and Moral Hazard in a Model With 2 States of the World
Advrs Slction and Moral Hazard in a Modl With 2 Stats of th World A modl of a risky situation with two discrt stats of th world has th advantag that it can b natly rprsntd using indiffrnc curv diagrams,
More informationIntroduction to Finite Element Modeling
Introduction to Finit Elmnt Modling Enginring analysis of mchanical systms hav bn addrssd by driving diffrntial quations rlating th variabls of through basic physical principls such as quilibrium, consrvation
More informationInfrared Vibration-Rotation Spectroscopy of HCl and DCl
Chmistry 363 JMS 1/05 Spring 010 DLC 1/10 Infrard Vibration-Rotation Spctroscopy of HCl and DCl Exprimnt Objctiv: to obtain th quilibrium bond lngth (r ) and vibration-rotation spctroscopic constants from
More information2.2.C Analogy between electronic excitations in an atom and the mechanical motion of a forced harmonic oscillator"
..C Analgy btwn lctrnic xcitatins in an atm and th mchanical mtin f a frcd harmnic scillatr" Hw t chs th valu f th crrspnding spring cnstant k? Rsnant Absrptin Mchanical rsnanc W idntify th mchanical rsnanc
More informationProduction Costing (Chapter 8 of W&W)
Production Costing (Chaptr 8 of W&W).0 Introduction Production costs rfr to th oprational costs associatd with producing lctric nrgy. Th most significant componnt of production costs ar th ful costs ncssary
More informationMathematics. Mathematics 3. hsn.uk.net. Higher HSN23000
hsn uknt Highr Mathmatics UNIT Mathmatics HSN000 This documnt was producd spcially for th HSNuknt wbsit, and w rquir that any copis or drivativ works attribut th work to Highr Still Nots For mor dtails
More informationTesting the gravitational properties of the quantum vacuum within the Solar System
Tsting th gravitational proprtis of th quantum vacuum within th Solar Systm Dragan Hajdukovic To cit this vrsion: Dragan Hajdukovic. Tsting th gravitational proprtis of th quantum vacuum within th Solar
More informationAnalyzing the Economic Efficiency of ebaylike Online Reputation Reporting Mechanisms
A rsarch and ducation initiativ at th MIT Sloan School of Managmnt Analyzing th Economic Efficincy of Baylik Onlin Rputation Rporting Mchanisms Papr Chrysanthos Dllarocas July For mor information, plas
More informationAC Circuits Three-Phase Circuits
AC Circuits Thr-Phs Circuits Contnts Wht is Thr-Phs Circuit? Blnc Thr-Phs oltgs Blnc Thr-Phs Connction Powr in Blncd Systm Unblncd Thr-Phs Systms Aliction Rsidntil Wiring Sinusoidl voltg sourcs A siml
More informationConstraint-Based Analysis of Gene Deletion in a Metabolic Network
Constraint-Basd Analysis of Gn Dltion in a Mtabolic Ntwork Abdlhalim Larhlimi and Alxandr Bockmayr DFG-Rsarch Cntr Mathon, FB Mathmatik und Informatik, Fri Univrsität Brlin, Arnimall, 3, 14195 Brlin, Grmany
More informationNoise Power Ratio (NPR) A 65-Year Old Telephone System Specification Finds New Life in Modern Wireless Applications.
TUTORIL ois Powr Ratio (PR) 65-Yar Old Tlphon Systm Spcification Finds w Lif in Modrn Wirlss pplications ITRODUTIO by Walt Kstr Th concpt of ois Powr Ratio (PR) has bn around sinc th arly days of frquncy
More informationTheoretical approach to algorithm for metrological comparison of two photothermal methods for measuring of the properties of materials
Rvista Invstigación Cintífica, ol. 4, No. 3, Nuva época, sptimbr dicimbr 8, IN 187 8196 Thortical approach to algorithm for mtrological comparison of two photothrmal mthods for masuring of th proprtis
More informationCPU. Rasterization. Per Vertex Operations & Primitive Assembly. Polynomial Evaluator. Frame Buffer. Per Fragment. Display List.
Elmntary Rndring Elmntary rastr algorithms for fast rndring Gomtric Primitivs Lin procssing Polygon procssing Managing OpnGL Stat OpnGL uffrs OpnGL Gomtric Primitivs ll gomtric primitivs ar spcifid by
More informationCapacitance and Dielectrics
Chaptr 5 Capacitanc and Dilctrics 5.1 Introduction...5-3 5. Calculation of Capacitanc...5-4 Exampl 5.1: Paralll-Plat Capacitor...5-4 Intractiv Simulation 5.1: Paralll-Plat Capacitor...5-6 Exampl 5.: Cylindrical
More informationFree ACA SOLUTION (IRS 1094&1095 Reporting)
Fr ACA SOLUTION (IRS 1094&1095 Rporting) Th Insuranc Exchang (301) 279-1062 ACA Srvics Transmit IRS Form 1094 -C for mployrs Print & mail IRS Form 1095-C to mploys HR Assist 360 will gnrat th 1095 s for
More informationCloud and Big Data Summer School, Stockholm, Aug., 2015 Jeffrey D. Ullman
Cloud and Big Data Summr Scool, Stockolm, Aug., 2015 Jffry D. Ullman Givn a st of points, wit a notion of distanc btwn points, group t points into som numbr of clustrs, so tat mmbrs of a clustr ar clos
More informationVector Network Analyzer
Cours on Microwav Masurmnts Vctor Ntwork Analyzr Prof. Luca Prrgrini Dpt. of Elctrical, Computr and Biomdical Enginring Univrsity of Pavia -mail: luca.prrgrini@unipv.it wb: microwav.unipv.it Microwav Masurmnts
More information81-1-ISD Economic Considerations of Heat Transfer on Sheet Metal Duct
Air Handling Systms Enginring & chnical Bulltin 81-1-ISD Economic Considrations of Hat ransfr on Sht Mtal Duct Othr bulltins hav dmonstratd th nd to add insulation to cooling/hating ducts in ordr to achiv
More informationMeerkats: A Power-Aware, Self-Managing Wireless Camera Network for Wide Area Monitoring
Mrkats: A Powr-Awar, Slf-Managing Wirlss Camra Ntwork for Wid Ara Monitoring C. B. Margi 1, X. Lu 1, G. Zhang 1, G. Stank 2, R. Manduchi 1, K. Obraczka 1 1 Dpartmnt of Computr Enginring, Univrsity of California,
More informationOnline Price Competition within and between Heterogeneous Retailer Groups
Onlin Pric Comptition within and btwn Htrognous Rtailr Groups Cnk Kocas Dpartmnt of Markting and Supply Chain Managmnt, Michigan Stat Univrsity kocas@msu.du Abstract This study prsnts a modl of pric comptition
More informationProjections - 3D Viewing. Overview Lecture 4. Projection - 3D viewing. Projections. Projections Parallel Perspective
Ovrviw Lctur 4 Projctions - 3D Viwing Projctions Paralll Prspctiv 3D Viw Volum 3D Viwing Transformation Camra Modl - Assignmnt 2 OFF fils 3D mor compl than 2D On mor dimnsion Displa dvic still 2D Analog
More informationOn the moments of the aggregate discounted claims with dependence introduced by a FGM copula
On th momnts of th aggrgat discountd claims with dpndnc introducd by a FGM copula - Mathiu BARGES Univrsité Lyon, Laboratoir SAF, Univrsité Laval - Hélèn COSSETTE Ecol Actuariat, Univrsité Laval, Québc,
More informationA Note on Approximating. the Normal Distribution Function
Applid Mathmatical Scincs, Vol, 00, no 9, 45-49 A Not on Approimating th Normal Distribution Function K M Aludaat and M T Alodat Dpartmnt of Statistics Yarmouk Univrsity, Jordan Aludaatkm@hotmailcom and
More informationFACULTY SALARIES FALL 2004. NKU CUPA Data Compared To Published National Data
FACULTY SALARIES FALL 2004 NKU CUPA Data Compard To Publishd National Data May 2005 Fall 2004 NKU Faculty Salaris Compard To Fall 2004 Publishd CUPA Data In th fall 2004 Northrn Kntucky Univrsity was among
More informationWhole Systems Approach to CO 2 Capture, Transport and Storage
Whol Systms Approach to CO 2 Captur, Transport and Storag N. Mac Dowll, A. Alhajaj, N. Elahi, Y. Zhao, N. Samsatli and N. Shah UKCCS Mting, July 14th 2011, Nottingham, UK Ovrviw 1 Introduction 2 3 4 Powr
More informationRent, Lease or Buy: Randomized Algorithms for Multislope Ski Rental
Rnt, Las or Buy: Randomizd Algorithms for Multislop Ski Rntal Zvi Lotkr zvilo@cs.bgu.ac.il Dpt. of Comm. Systms Enginring Bn Gurion Univrsity Br Shva Isral Boaz Patt-Shamir Dror Rawitz {boaz, rawitz}@ng.tau.ac.il
More informationFundamentals of Tensor Analysis
MCEN 503/ASEN 50 Chptr Fundmntls of Tnsor Anlysis Fll, 006 Fundmntls of Tnsor Anlysis Concpts of Sclr, Vctor, nd Tnsor Sclr α Vctor A physicl quntity tht cn compltly dscrid y rl numr. Exmpl: Tmprtur; Mss;
More informationMajor Portions in Climate Change: Physical Approach
Intrnational Rviw of Physics (I.R.E.PHY.), Vol. 5, N. 5 Octobr 20 Major Portions in Climat Chang: Physical Approach Jyrki Kauppinn, Jorma. Hinonn, Pkka J. Malmi Abstract h dstroying of rainforsts can warm
More informationLecture 20: Emitter Follower and Differential Amplifiers
Whits, EE 3 Lctur 0 Pag of 8 Lctur 0: Emittr Followr and Diffrntial Amplifirs Th nxt two amplifir circuits w will discuss ar ry important to lctrical nginring in gnral, and to th NorCal 40A spcifically.
More information[ ] These are the motor parameters that are needed: Motor voltage constant. J total (lb-in-sec^2)
MEASURING MOOR PARAMEERS Fil: Motor paramtrs hs ar th motor paramtrs that ar ndd: Motor voltag constant (volts-sc/rad Motor torqu constant (lb-in/amp Motor rsistanc R a (ohms Motor inductanc L a (Hnris
More informationSPREAD OPTION VALUATION AND THE FAST FOURIER TRANSFORM
RESEARCH PAPERS IN MANAGEMENT STUDIES SPREAD OPTION VALUATION AND THE FAST FOURIER TRANSFORM M.A.H. Dmpstr & S.S.G. Hong WP 26/2000 Th Judg Institut of Managmnt Trumpington Strt Cambridg CB2 1AG Ths paprs
More informationLecture notes: 160B revised 9/28/06 Lecture 1: Exchange Rates and the Foreign Exchange Market FT chapter 13
Lctur nots: 160B rvisd 9/28/06 Lctur 1: xchang Rats and th Forign xchang Markt FT chaptr 13 Topics: xchang Rats Forign xchang markt Asst approach to xchang rats Intrst Rat Parity Conditions 1) Dfinitions
More informationContinuity Cloud Virtual Firewall Guide
Cloud Virtual Firwall Guid uh6 Vrsion 1.0 Octobr 2015 Foldr BDR Guid for Vam Pag 1 of 36 Cloud Virtual Firwall Guid CONTENTS INTRODUCTION... 3 ACCESSING THE VIRTUAL FIREWALL... 4 HYPER-V/VIRTUALBOX CONTINUITY
More informationCHARACTERISTICS OF ELECTROMAGNETIC WAVE PROPAGATION THROUGH A MAGNETISED PLASMA SLAB WITH LINEARLY VARYING ELECTRON DEN- SITY
Progrss In Elctromagntics Rsarch B, Vol. 21, 385 398, 2010 CHARACTERISTICS OF ELECTROMAGNETIC WAVE PROPAGATION THROUGH A MAGNETISED PLASMA SLAB WITH LINEARLY VARYING ELECTRON DEN- SITY Ç. S. Gürl Dpartmnt
More informationQCD --- Quantum Chromodynamics
Outlin QCD --- Quantum Chromodynamics QCD Principls Quantum fild thory, analogy with QED Vrtx, coupling constant Colour rd, grn or blu Gluons Quark and Gluon Intractions Confinmnt Asymptotic Frdom QCD
More informationChapter 4: Biochemical redox reactions
Chaptr 4: Biochmical ractions 4.1 Introduction 4.2 Biochmical half-ractions, th Faraday conststant and th uction potntial 4.2.1 Dfining th uction potntial: 4.2.2 Th standard uction potntial is also th
More informationHardware Modules of the RSA Algorithm
SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol. 11, No. 1, Fbruary 2014, 121-131 UDC: 004.3`142:621.394.14 DOI: 10.2298/SJEE140114011S Hardwar Moduls of th RSA Algorithm Vlibor Škobić 1, Branko Dokić 1,
More informationGriffiths-McCoy singularities in the random transverse-field Ising spin chain
PHYSICAL REVIEW B VOLUME 59, NUMBER 17 1 MAY 1999-I Griffiths-McCoy singularitis in th random transvrs-fild Ising spin chain Frnc Iglói Rsarch Institut for Solid Stat Physics and Optics, P.O. Box 49, H-1525
More informationGold versus stock investment: An econometric analysis
Intrnational Journal of Dvlopmnt and Sustainability Onlin ISSN: 268-8662 www.isdsnt.com/ijds Volum Numbr, Jun 202, Pag -7 ISDS Articl ID: IJDS20300 Gold vrsus stock invstmnt: An conomtric analysis Martin
More information5.4 Exponential Functions: Differentiation and Integration TOOTLIFTST:
.4 Eponntial Functions: Diffrntiation an Intgration TOOTLIFTST: Eponntial functions ar of th form f ( ) Ab. W will, in this sction, look at a spcific typ of ponntial function whr th bas, b, is.78.... This
More informationHOMEWORK FOR UNIT 5-1: FORCE AND MOTION
Nam Dat Partnrs HOMEWORK FOR UNIT 51: FORCE AND MOTION 1. You ar givn tn idntial springs. Dsrib how you would dvlop a sal of for (i., a mans of produing rpatabl fors of a varity of sizs) using ths springs.
More informationPerformance Evaluation
Prformanc Evaluation ( ) Contnts lists availabl at ScincDirct Prformanc Evaluation journal hompag: www.lsvir.com/locat/pva Modling Bay-lik rputation systms: Analysis, charactrization and insuranc mchanism
More informationTopology Information Condensation in Hierarchical Networks.
Topology Information Condnsation in Hirarchical Ntworks. Pit Van Mighm Dlft Univrsity of Tchnology a ABSTRACT Inspird by th PNNI protocol of th ATM Forum, this work focuss on th problm of nod aggrgation
More informationOn The Fine-Structure Constant Physical Meaning
HADRONIC JOURNAL, Vol. 8, No., 7-7, (5) 1 On Th Fin-Structur Constant Physical Maning Gorg P. Shpnkov Institut of Mathmatics & Physics, UTA, Kaliskigo 7, 85-796 Bydgoszcz, Poland; shpnkov@janmax.com Abstract
More informationIMES DISCUSSION PAPER SERIES
IMES DISCUSSIN PAPER SERIES Th Choic of Invoic Currncy in Intrnational Trad: Implications for th Intrnationalization of th Yn Hiroyuki I, Akira TANI, and Toyoichirou SHIRTA Discussion Papr No. 003-E-13
More informationSharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means
Qian t al. Journal of Inqualitis and Applications (015) 015:1 DOI 10.1186/s1660-015-0741-1 R E S E A R C H Opn Accss Sharp bounds for Sándor man in trms of arithmtic, gomtric and harmonic mans Wi-Mao Qian
More informationSurface wave accelerator based on silicon carbide (SWABSiC)
Surfac wav acclrator basd on silicon carbid (SWABSiC) V. Khudi, S. Trndafilov, Kamil B. Alici P.I. Gnnady Shvts Th Univrsity of Txas at Austin V. Yaimno, M. Babzin, M. Fdurin, K. Kusch BNL/ATF Lasr Bam
More informationE X C H A N G E R U L E S A N D C L E A R I N G R U L E S O F N A S D A Q O M X D E R I V A T I V E S M A R K E T S
E X C H A N G E R U L E S A N D C L E A R I N G R U L E S O F N A S D A Q O M X D E R I V A T I V E S M A R K E T S Fair Valu 1 Valuation Variabls Tabl 1 blow shows th variabls us in th rspctiv valuation
More informationESCI 241 Meteorology Lesson 6 Humidity
ESCI 41 Mtorology Lsson 6 Humiity Raing: MT Chatr 5 PARTIAL PRESSURE In a mixtur of gass, ach gas scis contributs to th total rssur. ο Th rssur xrt by a singl gas scis is known as th artial rssur for that
More informationProblem Set 6 Solutions
6.04/18.06J Mathmatics for Computr Scic March 15, 005 Srii Dvadas ad Eric Lhma Problm St 6 Solutios Du: Moday, March 8 at 9 PM Problm 1. Sammy th Shar is a fiacial srvic providr who offrs loas o th followig
More informationPhysics. Lesson Plan #9 Energy, Work and Simple Machines David V. Fansler Beddingfield High School
Physics Lsson Plan #9 Engy, Wok an Simpl Machins Davi V. Fansl Bingfil High School Engy an Wok Objctivs: Dscib th lationship btwn wok an ngy; Display an ability to calculat wok on by a foc; Intify th foc
More informationProbabilistic maintenance and asset management on moveable storm surge barriers
Probabilistic maintnanc an asst managmnt on movabl storm surg barrirs Patrick Wbbrs Ministry of Transport, Public Works an Watr Managmnt Civil Enginring Division A n a l y s O n r h o u F a a l k a n s
More informationDescription. Rc NPT G 1/8 1/4 3/8 1/2 3/4. With drain cock Drain guide 1/8 Drain guide 1/4 Drain cock with barb fitting: For ø6 x ø4 nylon tube
M Mist Sparator to M Micro Mist Sparator to Sris M ominal filtration rating: 0.3 µm Sris ominal filtration rating: µm How to Ordr Mist Sparator Micro Mist Sparator, M, Option/Smi-standard: Slct on ach
More informationA Theoretical Model of Public Response to the Homeland Security Advisory System
A Thortical Modl of Public Rspons to th Homland Scurity Advisory Systm Amy (Wnxuan) Ding Dpartmnt of Information and Dcision Scincs Univrsity of Illinois Chicago, IL 60607 wxding@uicdu Using a diffrntial
More informationFar Field Estimations and Simulation Model Creation from Cable Bundle Scans
Far Fild Estimations and Simulation Modl Cration from Cabl Bundl Scans D. Rinas, S. Nidzwidz, S. Fri Dortmund Univrsity of Tchnology Dortmund, Grmany dnis.rinas@tu-dortmund.d stphan.fri@tu-dortmund.d Abstract
More informationCookie Policy- May 5, 2014
Cooki Policy- May 5, 2014 Us of Cookis on Sizmk Wbsits This Cooki Disclosur applis only to us of cookis on corporat wbsits (www.sizmk.com and rlatd rgional wbsits) publishd by Sizmk Inc. and its affiliats
More informationEmpirical Validation of Parameter Studies on Heat Transfer through Glazing System Using Window 6.3 Software
Sunny Kumar t al Int. Journal of Enginring Rsarch an Applications ISSN : 48-96, Vol., Issu 6, Nov-Dc 0, pp.86-9 www.ijra.com RESEARCH ARTICLE OPEN ACCESS Empirical Valiation of Paramtr Stuis on Hat Transfr
More information5 2 index. e e. Prime numbers. Prime factors and factor trees. Powers. worked example 10. base. power
Prim numbrs W giv spcial nams to numbrs dpnding on how many factors thy hav. A prim numbr has xactly two factors: itslf and 1. A composit numbr has mor than two factors. 1 is a spcial numbr nithr prim
More informationParallel and Distributed Programming. Performance Metrics
Paralll and Distributd Programming Prformanc! wo main goals to b achivd with th dsign of aralll alications ar:! Prformanc: th caacity to rduc th tim to solv th roblm whn th comuting rsourcs incras;! Scalability:
More informationTheoretical Aspects of Fault Isolation on High-Power DC Lines Using Resonant. DC/DC Converters
Thortical Aspcts of Fault Isolation on High-Powr DC ins Using Rsonant DC/DC Convrtrs Dr Dragan Jovcic, School of Enginring, Univrsity of Abrdn, Abrdn, AB4 3UE, UK Tl 4 7 336 Email: d.jovcic@abdn.ac.uk
More informationAbstract. Introduction. Statistical Approach for Analyzing Cell Phone Handoff Behavior. Volume 3, Issue 1, 2009
Volum 3, Issu 1, 29 Statistical Approach for Analyzing Cll Phon Handoff Bhavior Shalini Saxna, Florida Atlantic Univrsity, Boca Raton, FL, shalinisaxna1@gmail.com Sad A. Rajput, Farquhar Collg of Arts
More informationThe fitness value of information
Oikos 119: 219230, 2010 doi: 10.1111/j.1600-0706.2009.17781.x, # 2009 Th Authors. Journal compilation # 2009 Oikos Subjct Editor: Knnth Schmidt. Accptd 1 Sptmbr 2009 Th fitnss valu of information Matina
More informationCHAPTER 4c. ROOTS OF EQUATIONS
CHAPTER c. ROOTS OF EQUATIONS A. J. Clark School o Enginring Dpartmnt o Civil and Environmntal Enginring by Dr. Ibrahim A. Aakka Spring 00 ENCE 03 - Computation Mthod in Civil Enginring II Dpartmnt o Civil
More informationEffect of Design Parameter on the Performance of Lithium Ion Battery
Aadil Ahmad, Mohd. Parvz / Intrnational Journal of Enginring Rarch and Application Vol. 3, Iu 4, Jul-Aug 2013, pp.1196-1201 Effct of Dign Paramtr on th Prformanc of Lithium Ion Battry Aadil Ahmad 1, Mohd.
More informationFleet vehicles opportunities for carbon management
Flt vhicls opportunitis for carbon managmnt Authors: Kith Robrtson 1 Dr. Kristian Stl 2 Dr. Christoph Hamlmann 3 Alksandra Krukar 4 Tdla Mzmir 5 1 Snior Sustainability Consultant & Lad Analyst, Arup 2
More informationOn Resilience of Multicommodity Dynamical Flow Networks
On Rsilinc of Multicommodity Dynamical Flow Ntworks Gusta Nilsson, Giacomo Como, and Enrico Loisari bstract Dynamical flow ntworks with htrognous routing ar analyzd in trms of stability and rsilinc to
More informationVersion 1.0. General Certificate of Education (A-level) January 2012. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.
Vrsion.0 Gnral Crtificat of Education (A-lvl) January 0 Mathmatics MPC (Spcification 660) Pur Cor Final Mark Schm Mark schms ar prpard by th Principal Eaminr and considrd, togthr with th rlvant qustions,
More informationChapter 7. Fastenings. Contents. Lawrence A. Soltis
Fastnings Lawrnc A. Soltis Chaptr 7 Contnts Nails 7 Withdrawal Rsistanc 7 Latral Rsistanc 7 5 Spiks 7 8 Stapls 7 8 Drift Bolts 7 9 Wood Scrws 7 9 Withdrawal Rsistanc 7 9 Latral Rsistanc 7 1 Lag Scrws 7
More informationCIRCUITS AND ELECTRONICS. Basic Circuit Analysis Method (KVL and KCL method)
6. CIRCUITS AND ELECTRONICS Basic Circuit Analysis Mthod (KVL and KCL mthod) Cit as: Anant Agarwal and Jffry Lang, cours matrials for 6. Circuits and Elctronics, Spring 7. MIT 6. Fall Lctur Rviw Lumpd
More informationLAB 3: VELOCITY AND ACCELERATION GRAPHS
Goas: LAB 3: ELOCITY AND ACCELERATION GRAPHS Invstigat accration vs. tim graphs Prdict accration graphs from vocity graphs Invstigat accration as sop of vocity vs. tim graph Part 1 - Making ocity- Graphs
More informationPrecise Memory Leak Detection for Java Software Using Container Profiling
Distinguishd Papr Prcis Mmory Lak Dtction for Java Softwar Using Containr Profiling Guoqing Xu Atanas Rountv Dpartmnt of Computr Scinc and Enginring Ohio Stat Univrsity {xug,rountv}@cs.ohio-stat.du ABSTRACT
More informationDehumidifiers: A Major Consumer of Residential Electricity
Dhumidifirs: A Major Consumr of Rsidntial Elctricity Laurn Mattison and Dav Korn, Th Cadmus Group, Inc. ABSTRACT An stimatd 19% of U.S. homs hav dhumidifirs, and thy can account for a substantial portion
More information