Cargando…

Quantum mechanics II: advanced topics

Quantum Mechanics II: Advanced Topics uses more than a decade of research and the authors’ own teaching experience to expound on some of the more advanced topics and current research in quantum mechanics. A follow-up to the authors introductory book Quantum Mechanics I: The Fundamentals, this book b...

Descripción completa

Detalles Bibliográficos
Autores principales: Rajasekar, S, Velusamy, R
Lenguaje:eng
Publicado: CRC Press 2014
Materias:
Acceso en línea:http://cds.cern.ch/record/1976491
_version_ 1780945116172648448
author Rajasekar, S
Velusamy, R
author_facet Rajasekar, S
Velusamy, R
author_sort Rajasekar, S
collection CERN
description Quantum Mechanics II: Advanced Topics uses more than a decade of research and the authors’ own teaching experience to expound on some of the more advanced topics and current research in quantum mechanics. A follow-up to the authors introductory book Quantum Mechanics I: The Fundamentals, this book begins with a chapter on quantum field theory, and goes on to present basic principles, key features, and applications. It outlines recent quantum technologies and phenomena, and introduces growing topics of interest in quantum mechanics. The authors describe promising applications that include ghost imaging, detection of weak amplitude objects, entangled two-photon microscopy, detection of small displacements, lithography, metrology, and teleportation of optical images. They also present worked-out examples and provide numerous problems at the end of each chapter.
id cern-1976491
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
publisher CRC Press
record_format invenio
spelling cern-19764912021-04-21T20:40:00Zhttp://cds.cern.ch/record/1976491engRajasekar, SVelusamy, RQuantum mechanics II: advanced topicsGeneral Theoretical PhysicsQuantum Mechanics II: Advanced Topics uses more than a decade of research and the authors’ own teaching experience to expound on some of the more advanced topics and current research in quantum mechanics. A follow-up to the authors introductory book Quantum Mechanics I: The Fundamentals, this book begins with a chapter on quantum field theory, and goes on to present basic principles, key features, and applications. It outlines recent quantum technologies and phenomena, and introduces growing topics of interest in quantum mechanics. The authors describe promising applications that include ghost imaging, detection of weak amplitude objects, entangled two-photon microscopy, detection of small displacements, lithography, metrology, and teleportation of optical images. They also present worked-out examples and provide numerous problems at the end of each chapter.Quantum Field TheoryINTRODUCTIONWHY QUANTUM FIELD THEORY?WHAT IS A FIELD?CLASSICAL FIELD THEORYQUANTUM EQUATIONS FOR FIELDSQUANTIZATION OF NONRELATIVISTIC WAVE EQUATIONELECTROMAGNETIC FIELD IN VACUUMINTERACTION OF CHARGED PARTICLES WITH ELECTROMAGNETIC FIELDSPONTANEOUS EMISSIONQUANTIZATION OF KLEIN-GORDON EQUATIONQUANTIZATION OF DIRAC FIELDGAUGE FIELD THEORIESCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESPath Integral FormulationINTRODUCTIONTIME EVOLUTION OF WAVE FUNCTION AND PROPAGATORPATH INTEGRAL REPRESENTATION OF PROPAGATORCONNECTION BETWEEN THE PROPAGATOR AND THE CLASSICAL ACTIONSCHRÖDINGER EQUAQuantum Field TheoryINTRODUCTIONWHY QUANTUM FIELD THEORY?WHAT IS A FIELD?CLASSICAL FIELD THEORYQUANTUM EQUATIONS FOR FIELDSQUANTIZATION OF NONRELATIVISTIC WAVE EQUATIONELECTROMAGNETIC FIELD IN VACUUMINTERACTION OF CHARGED PARTICLES WITH ELECTROMAGNETIC FIELDSPONTANEOUS EMISSIONQUANTIZATION OF KLEIN-GORDON EQUATIONQUANTIZATION OF DIRAC FIELDGAUGE FIELD THEORIESCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESPath Integral FormulationINTRODUCTIONTIME EVOLUTION OF WAVE FUNCTION AND PROPAGATORPATH INTEGRAL REPRESENTATION OF PROPAGATORCONNECTION BETWEEN THE PROPAGATOR AND THE CLASSICAL ACTIONSCHRÖDINGER EQUATION FROM PATH INTEGRAL FORMULATIONTRANSITION AMPLITUDE OF A FREE PARTICLE SYSTEMS WITH QUADRATIC LAGRANGIANPATH INTEGRAL FOR HARMONIC OSCILLATORPATH INTEGRAL VERSION OF EHRENFEST'S THEOREMCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESSupersymmetric Quantum MechanicsINTRODUCTIONSUPERSYMMETRIC POTENTIALS RELATIONS BETWEEN THE EIGENSTATES OF TWO SUPERSYMMETRIC HAMILTONIANSHIERARCHY OF SUPERSYMMETRIC HAMILTONIANSAPPLICATIONSCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESCoherent and Squeezed StatesINTRODUCTIONTHE UNCERTAINTY PRODUCT OF HARMONIC OSCILLATORCOHERENT STATES: DEFINITION AND UNCERTAINTY PRODUCTPHYSICAL MEANING OF COHERENT STATESGENERATION OF COHERENT STATESPROPERTIES OF COHERENT STATESSQUEEZED STATESDEFORMED OSCILLATORS AND NONLINEAR COHERENT STATESCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESBerry's Phase, Aharonov-Bohm and Sagnac EffectsINTRODUCTION DERIVATION OF BERRY'S PHASE ORIGIN AND PROPERTIES OF BERRY'S PHASECLASSICAL ANALOGUE OF BERRY'S PHASEEXAMPLES FOR BERRY'S PHASEEFFECTS OF BERRY'S PHASEAPPLICATIONS OF BERRY'S PHASEEXPERIMENTAL VERIFICATION OF BERRY'S PHASE PANCHARATNAM'S WORKTHE AHARONOV-BOHM EFFECTSAGNAC EFFECTCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESPhase Space Picture and Canonical TransformationsINTRODUCTIONSQUEEZE AND ROTATION IN PHASE SPACELINEARCANONICAL TRANSFORMATIONSWIGNER FUNCTIONTIME EVOLUTION OF THE WIGNER FUNCTIONAPPLICATIONSADVANTAGES OF THE WIGNER FUNCTIONCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESQuantum ComputersINTRODUCTIONWHAT IS A QUANTUM COMPUTER?WHY IS A QUANTUM COMPUTER?FUNDAMENTAL PROPERTIESQUANTUM ALGORITHMSFEATURES OF QUANTUM COMPUTATIONQUANTUM COMPUTATION THROUGH NMRWHY IS MAKING A QUANTUM COMPUTER EXTREMELY DIFFICULT?CONCLUDING REMARKSBIBLIOGRAPHYEXERCISESQUANTUM CRYPTOGRAPHYINTRODUCTIONSTANDARD CRYPTOSYSTEMSQUANTUM CRYPTOGRAPHY-BASIC PRINCIPLETYPES OF QUANTUM CRYPTOGRAPHYMULTIPARTY QUANTUM SECRET SHARING APPLICATIONS OF QUANTUM CRYPTOGRAPHYIMPLEMENTATION AND LIMITATIONS FIBER-OPTICAL QUANTUM KEY DISTRIBUTIONCONCLUDING REMARKS BIBLIOGRAPHY EXERCISES Some Other Advanced TopicsINTRODUCTIONQUANTUM THEORY OF GRAVITYQUANTUM ZENO EFFECTQUANTUM TELEPORTATIONQUANTUM GAMESQUANTUM CLONINGQUANTUM DIFFUSIONQUANTUM CHAOSCONCLUDING REMARKSBIBLIOGRAPHYEXERCISES Quantum TechnologiesINTRODUCTIONQUANTUM ENTANGLEMENTQUANTUM ENTANGLED PHOTONSGHOST IMAGINGDETECTION OF WEAK AMPLITUDE OBJECTENTANGLED TWO-PHOTON MICROSCOPYDETECTION OF SMALL DISPLACEMENTSQUANTUM LITHOGRAPHYQUANTUM METROLOGYQUANTUM TELEPORTATION OF OPTICALIMAGESCONCLUDING REMARKSBIBLIOGRAPHYEXERCISESSolutions to selected exercisesIndex.CRC Pressoai:cds.cern.ch:19764912014-12-15
spellingShingle General Theoretical Physics
Rajasekar, S
Velusamy, R
Quantum mechanics II: advanced topics
title Quantum mechanics II: advanced topics
title_full Quantum mechanics II: advanced topics
title_fullStr Quantum mechanics II: advanced topics
title_full_unstemmed Quantum mechanics II: advanced topics
title_short Quantum mechanics II: advanced topics
title_sort quantum mechanics ii: advanced topics
topic General Theoretical Physics
url http://cds.cern.ch/record/1976491
work_keys_str_mv AT rajasekars quantummechanicsiiadvancedtopics
AT velusamyr quantummechanicsiiadvancedtopics