Modern Quantum Mechanics - Cambridge University Press

1 Cambridge University Press978-1-108-42241-3 Modern Quantum MechanicsJ. J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University PressModern Quantum MechanicsSecond EditionModern Quantum Mechanicsis a classical graduate level textbook, covering the main Quantum mechan-ics concepts in a clear, organized and engaging manner. The author, J. J. Sakurai, was a renownedtheorist in particle theory. The Second Edition, revised by Jim Napolitano, introduces topics thatextend the text s usefulness into the 21st century such as advanced mathematical techniques associ-ated with Quantum mechanical calculations, while at the same time retaining classic developmentssuch as neutron interferometer experiments, Feynman path integrals, correlation measurements, andBell s inequality.

2 A solution manual for instructors using this textbook can be downloaded under the resources Sakurai, noted theorist in particle physics, was born in Tokyo, Japan in 1933. He receivedhis from Harvard University in 1955 and his PhD from Cornell University in 1958. He wasappointed as an assistant professor at the University of Chicago, where he worked until he becamea professor at the University of California, Los Angeles in 1970. Sakurai died in 1982 while he wasvisiting a professor at CERN in Geneva, Napolitanoearned an undergraduate Physics degree at Rensselaer Polytechnic Institute in 1977,and a PhD in Physics from Stanford University in 1982.

3 Since that time, he has conducted research inexperimental nuclear and particle physics, with an emphasis on studying fundamental interactions andsymmetries. He joined the faculty at Rensselaer in 1992 after working as a member of the scientific staffat two different national laboratories. Since 2014 he has been Professor of Physics at Temple is author and co-author of over 150 scientific papers in refereed journals. Professor Napolitanomaintains a keen interest in science education in general, and in particular physics education at both theundergraduate and graduate levels. He has taught both graduate and upper-level undergraduate coursesin Quantum Mechanics , as well as an advanced graduate course in Quantum Field University Press978-1-108-42241-3 Modern Quantum MechanicsJ.

4 J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University PressModern QuantumMechanicsSecond EditionJ. J. SakuraiDeceasedJim NapolitanoTemple University , PhiladelphiaCambridge University Press978-1-108-42241-3 Modern Quantum MechanicsJ. J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University PressUniversity Printing House, Cambridge CB2 8BS, United KingdomOne Liberty Plaza, 20th Floor, New York, NY 10006, USA477 Williamstown Road, Port Melbourne, VIC 3207, Australia4843/24, 2nd Floor, Ansari Road, Daryaganj, Delhi 110002, India79 Anson Road, #06 04/06, Singapore 079906 Cambridge University Press is part of the University of furthers the University s mission by disseminating knowledge in the pursuit ofeducation, learning, and research at the highest international levels of on this.

5 Cambridge University Press 2017 This publication is in copyright. Subject to statutory exceptionand to the provisions of relevant collective licensing agreements,no reproduction of any part may take place without the writtenpermission of Cambridge University book was previously published by Pearson Education, Inc. 1994, 2011 Reissued by Cambridge University Press 2017 Printed in the United Kingdom by TJ International Ltd. Padstow CornwallA catalogue record for this publication is available from the British resources for this publication available at: 978-1-108-42241-3 HardbackCambridge University Press has no responsibility for the persistence or accuracy ofURLs for external or third-party internet websites referred to in this publicationand does not guarantee that any content on such websites is, or will remain,accurate or University Press978-1-108-42241-3 Modern Quantum MechanicsJ.

6 J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University PressContentsForeword to the First EditionixPreface to the Revised EditionxiPreface to the Second EditionxiiiIn Memoriamxvii1 Fundamental The Stern-Gerlach Experiment Kets, Bras, and Operators Base Kets and Matrix Representations Measurements, Observables, and the Uncertainty Relations Change of Basis Position, Momentum, and Translation Wave Functions in Position and Momentum Space 502 Quantum Time-Evolution and the Schr dinger Equation The Schr dinger Versus the Heisenberg Picture Simple Harmonic Oscillator Schr dinger s Wave Equation elementary Solutions to Schr dinger s Wave Equation Propagators and Feynman Path Integrals Potentials and Gauge Transformations 1293 Theory of Angular Rotations and Angular-Momentum Commutation Relations Spin12 Systems and Finite Rotations SO(3), SU(2), and Euler Rotations 172vCambridge University Press978-1-108-42241-3 Modern Quantum MechanicsJ.

7 J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University Density Operators and Pure Versus Mixed Ensembles Eigenvalues and Eigenstates of Angular Momentum Orbital Angular Momentum Schr dinger s Equation for Central Potentials Addition of Angular Momenta Schwinger s Oscillator Model of Angular Momentum Spin Correlation Measurements and Bell s Inequality Tensor Operators 2464 Symmetry in Quantum Symmetries, Conservation Laws, and Degeneracies Discrete Symmetries, Parity, or Space Inversion Lattice Translation as a Discrete Symmetry The Time-Reversal Discrete Symmetry 2845 Approximation Time-Independent Perturbation Theory: Nondegenerate Case Time-Independent Perturbation Theory: The Degenerate Case Hydrogen-Like Atoms: Fine Structure and the Zeeman Effect Variational Methods Time-Dependent Potentials.

8 The Interaction Picture Hamiltonians with Extreme Time Dependence Time-Dependent Perturbation Theory Applications to Interactions with the Classical Radiation Field Energy Shift and Decay Width 3716 Scattering Scattering as a Time-Dependent Perturbation The Scattering Amplitude The Born Approximation Phase Shifts and Partial Waves Eikonal Approximation Low-Energy Scattering and Bound States Resonance Scattering Symmetry Considerations in Scattering Inelastic Electron-Atom Scattering 4367 Identical Permutation Symmetry Symmetrization Postulate 450 Cambridge University Press978-1-108-42241-3 Modern Quantum MechanicsJ.

9 J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University Two-Electron System The Helium Atom Multiparticle States Quantization of the Electromagnetic Field 4728 Relativistic Quantum Paths to Relativistic Quantum Mechanics The Dirac Equation Symmetries of the Dirac Equation Solving with a Central Potential Relativistic Quantum Field Theory 514 AElectromagnetic Coulomb s Law, Charge, and Current Converting Between Systems 520 BBrief Summary of elementary Solutions to Schr dinger sWave Free Particles (V=0) Piecewise Constant Potentials in One Dimension Transmission-Reflection Problems Simple Harmonic Oscillator The Central Force Problem [Spherically Symmetrical PotentialV=V(r)] Hydrogen Atom 531 CProof of the Angular-Momentum Addition Rule Given byEquation ( )533 Bibliography535 Index537 Cambridge University Press978-1-108-42241-3 Modern Quantum MechanicsJ.

10 J. Sakurai , Jim Napolitano FrontmatterMore in this web service Cambridge University PressForeword to the First EditionJ. J. Sakurai was always a very welcome guest here at CERN, for he was one ofthose rare theorists to whom the experimental facts are even more interesting thanthe theoretical game itself. Nevertheless, he delighted in theoretical physics andin its teaching, a subject on which he held strong opinions. He thought that muchtheoretical physics teaching was both too narrow and too remote from application: ..we see a number of sophisticated, yet uneducated, theoreticians who are con-versant in the LSZ formalism of the Heisenberg field operators, but do not knowwhy an excited atom radiates, or are ignorant of the Quantum theoretic derivationof Rayleigh s law that accounts for the blueness of the sky.