## 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. |

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### Contents

Mathematical Prerequisites | 7 |

The Formulation of Quantum Mechanics | 42 |

Kinematics and Dynamics | 63 |

Coordinate Representation and Applications | 97 |

Momentum Representation and Applications | 126 |

The Harmonic Oscillator | 151 |

Angular Momentum | 160 |

State Preparation and Determination | 206 |

The Classical Limit | 388 |

Quantum Potential | 394 |

Quantum Mechanics in Phase Space | 406 |

Scattering | 421 |

Identical Particles | 470 |

ManyFermion Systems | 493 |

Quantum Mechanics of | 526 |

Bells Theorem and Its Consequences | 583 |

Measurement and the Interpretation of States | 230 |

Formation of Bound States | 258 |

Charged Particle in a Magnetic Field | 307 |

TimeDependent Phenomena | 332 |

Discrete Symmetries | 370 |

Appendix A Schurs Lemma | 613 |

639 | |

651 | |

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### Common terms and phrases

amplitude angular momentum annihilation operators antilinear approximation arbitrary average basis vectors beam Bell's Bell's inequality Bell's theorem bound calculate classical classical mechanics coefficients coherent components consider coordinate representation corresponding defined denoted dependence derivation detector determined diffraction dipole direction dynamical variable Ehrenfest's theorem eigenfunctions eigenvalue equation eigenvectors electric field electron energy levels equal evaluate example exponential expression factor fermions flux frequency Hamiltonian Heisenberg picture hence Hermitian identity independent inequality integral interaction interpretation invariant limit linear combination magnetic field matrix element measurement mode momentum operator nonnegative normalization observable obtain orbital orthogonal parameters permutation perturbation perturbation theory photon physical polarization position and momentum possible probability density probability distribution problem pure quantum mechanics quantum numbers quantum theory radiation result rotation satisfy scalar scattering Schrodinger single particle solution spherical spin subspace symmetry theorem transformation vanish vector potential vector space velocity wave function yields zero