Mathematical Concepts of Quantum Mechanics

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ISBN: 978-3-642-21865-1 (Print) 978-3-642-21866-8 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xiii

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    Book Chapter

    Pages 1-7

    Physical Background

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    Book Chapter

    Pages 9-17

    Dynamics

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    Book Chapter

    Pages 19-25

    Observables

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    Pages 27-40

    Quantization

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    Pages 41-45

    Uncertainty Principle and Stability of Atoms and Molecules

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    Pages 47-59

    Spectrum and Dynamics

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    Pages 61-73

    Special Cases

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    Pages 75-87

    Bound States and Variational Principle

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    Book Chapter

    Pages 89-98

    Scattering States

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    Pages 99-105

    Existence of Atoms and Molecules

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    Book Chapter

    Pages 107-125

    Perturbation Theory: Feshbach-Schur Method

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    Book Chapter

    Pages 127-140

    General Theory of Many-particle Systems

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    Book Chapter

    Pages 141-148

    Self-consistent Approximations

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    Pages 149-154

    The Feynman Path Integral

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    Pages 155-171

    Quasi-classical Analysis

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    Pages 173-189

    Resonances

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    Pages 191-208

    Quantum Statistics

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    Pages 209-226

    The Second Quantization

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    Book Chapter

    Pages 227-245

    Quantum Electro-Magnetic Field - Photons

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    Book Chapter

    Pages 247-262

    Standard Model of Non-relativistic Matter and Radiation

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