- 348 pages
- English
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Elements Of Non-relativistic Quantum Mechanics
About This Book
This book presents the basic structure of quantum mechanics, the elements needed to properly understand the subject and its applications. It is written at a level which is intermediate between the standard graduate textbooks, which it intends to supplement, and the more advanced mathematical writings in the subject. Particular attention is given to the concepts of kinematical and dynamical symmetries. The unifying thread that links the study of particles and systems of particles is the connection between Galilean invariance and the fundamental observables of a system. The mathematical appendices on the Hilbert space, the theory of distributions and Dirac's formalism provide a mathematical basis which is adequate for many working theoretical physicists.
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Table of contents
- CONTENTS
- PREFACE
- I. INTRODUCTION
- II. STATES AND OBSERVABLES
- III. COMMENSURABILITY
- IV. DYNAMICS
- V. GENERAL FORMULATION
- VI. A PARTICLE IN ONE DIMENSION
- VII. A SPINLESS PARTICLE IN THREE DIMENSIONS
- VIII. DYNAMICAL SYMMETRIES AND CONSERVATION LAWS
- IX. A PARTICLE WITH SPIN
- X. SYSTEMS COMPOSED OF DIFFERENT SUBSYSTEMS
- XI. SYSTEMS OF IDENTICAL PARTICLES
- APPENDIX A. FINITE-DIMENSIONAL VECTOR SPACES
- APPENDIX B. THE HILBERT SPACE
- APPENDIX C. DIRAC'S FORMULATION IN THE HILBERT SPACE
- APPENDIX D. A REMINDER FROM CLASSICAL MECHANICS
- NOTES
- BIBLIOGRAPHY
- INDEX