## 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 |

Discrete Symmetries | 370 |

The Classical Limit | 388 |

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 |

Appendix A Schurs Lemma | 613 |

639 | |

651 | |

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### Common terms and phrases

amplitude angular momentum apply approximation arbitrary argument atom average basis becomes bound calculate classical coherent combination commute complete components condition consider constant coordinate correlation corresponding defined denoted density dependence derivation described determined direction distribution effect eigenfunctions eigenvalue eigenvectors electric electron elements energy equal equation evaluate example experiment expression fact factor field follows frequency function given ground Hamiltonian hence identity independent inequality initial integral interaction interpretation invariant limit linear magnetic field matrix means measurement method mode motion normalization observable obtain operator orbital parameters particle path perturbation phase photon physical position possible potential preparation probability problem properties pure quantum mechanics relation representation represented result rotation satisfy scattering shown single solution space spin substitute symmetry theorem theory transformation unit vanish vector wave yields zero