Quantum Mechanics: A Modern DevelopmentAlthough there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it could be used by senior undergraduates too. |
Contents
| 1 | |
| 7 | |
Chapter 2 The Formulation of Quantum Mechanics | 42 |
Chapter 3 Kinematics and Dynamics | 63 |
Chapter 4 Coordinate Representation and Applications | 97 |
Chapter 5 Momentum Representation and Applications | 126 |
Chapter 6 The Harmonic Oscillator | 151 |
Chapter 7 Angular Momentum | 160 |
Chapter 14 The Classical Limit | 388 |
Chapter 15 Quantum Mechanics in Phase Space | 406 |
Chapter 16 Scattering | 421 |
Chapter 17 Identical Particles | 470 |
Chapter 18 ManyFermion Systems | 493 |
Chapter 19 Quantum Mechanics of the Electromagnetic Field | 526 |
Chapter 20 Bells Theorem and Its Consequences | 583 |
Appendix A Schurs Lemma | 613 |
Chapter 8 State Preparation and Determination | 206 |
Chapter 9 Measurement and the Interpretation of States | 230 |
Chapter 10 Formation of Bound States | 258 |
Chapter 11 Charged Particle in a Magnetic Field | 307 |
Chapter 12 TimeDependent Phenomena | 332 |
Chapter 13 Discrete Symmetries | 370 |
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Common terms and phrases
amplitude angular momentum annihilation operators antilinear approximation arbitrary atom average basis vectors beam Bell's Bell's inequality Bell's theorem bound calculate classical classical mechanics coefficients coherent components coordinate representation correlation corresponding defined denoted dependence derivation detector determined diffraction dipole dynamical variable Ehrenfest's theorem eigenfunctions eigenvalue equation eigenvectors electric field electron equal evaluate example exponential expression factor flux frequency ħ² Hamiltonian Heisenberg picture hence Hermitian identity independent inequality integral interaction interpretation invariant limit magnetic field matrix element measurement mode momentum operator normalization observable obtain orbital parameters perturbation photon physical polarization position and momentum potential probability density probability distribution problem pure quantum mechanics quantum numbers quantum theory radiation result rotation satisfy scattering Schrödinger Schrödinger equation solution spherical spin subspace symmetry theorem transformation vanish vector potential vector space velocity wave function Wigner yields zero