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Pade J. Quantum Mechanics for Pedestrians 2: Applications and Extensions

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Pade J. Quantum Mechanics for Pedestrians 2: Applications and Extensions
Springer, 2014. - 482 pp.
The two-volume textbook Quantum Mechanics for Pedestrians provides an introduction to the basics of nonrelativistic quantum mechanics. Originally written as a course for students of science education, the book addresses all those science students and others who are looking for a reasonably simple, fresh and modern introduction to the field. The basic principles of quantum mechanics are presented in the first volume. This second volume discusses applications and extensions to more complex problems. In addition to topics traditionally dealt with in quantum mechanics texts, such as symmetries or many-body problems, here also issues of current interest such as entanglement, Bell's inequalities, decoherence and various aspects of quantum information are treated in detail. Furthermore, questions of the basis of quantum mechanics and epistemological issues are discussed explicitly; these are relevant e.g. to the realism debate. A chapter on the interpretations of quantum mechanics completes this volume. The necessary mathematical tools are introduced step by step; in the appendix, the most relevant mathematics is compiled in compact form. More advanced topics such as the Lenz vector, Hardy's experiment and Shor's algorithm are treated in more detail in the appendix. As an essential aid to learning and teaching, 130 exercises are included, most of them with their solutions.
Contents:
One-Dimensional Piecewise-Constant Potentials.
Angular Momentum.
The Hydrogen Atom.
The Harmonic Oscillator.
Perturbation Theory.
Entanglement, EPR, Bell.
Symmetries and Conservation Laws.
The Density Operator.
Identical Particles.
Decoherence.
Scattering.
Quantum Information.
Is Quantum Mechanics Complete?
Interpretations of Quantum Mechanics.
Appendix A: Abbreviations and Notations.
Appendix B: Special Functions.
Appendix C: Tensor Product.
Appendix D: Wave Packets.
Appendix E: Laboratory System, Center-of-Mass System.
Appendix F: Analytic Treatment of the Hydrogen Atom.
Appendix G: The Lenz Vector.
Appendix H: Perturbative Calculation of the Hydrogen Atom.
Appendix I: The Production of Entangled Photons.
Appendix J: The Hardy Experiment.
Appendix K: Set-Theoretical Derivation of the Bell Inequality.
Appendix L: The Special Galilei Transformation.
Appendix M: Kramers’ Theorem.
Appendix N: Coulomb Energy and Exchange Energy in the Helium Atom.
Appendix O: The Scattering of Identical Particles.
Appendix P: The Hadamard Transformation.
Appendix Q: From the Interferometer to the Computer.
Appendix R: The Grover Algorithm, Algebraically.
Appendix S: Shor Algorithm.
Appendix T: The Gleason Theorem.
Appendix U: What is Reel? Some Quotations.
Appendix V: Remarks on Some Interpretations of Quantum Mechanics.
Appendix W: Exercises and Solutions.
Further Reading.
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