Book Volume 267 2013

Quantum Theory for Mathematicians

Authors:

ISBN: 978-1-4614-7115-8 (Print) 978-1-4614-7116-5 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-xvi

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    Chapter

    Pages 1-17

    The Experimental Origins of Quantum Mechanics

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    Chapter

    Pages 19-52

    A First Approach to Classical Mechanics

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    Chapter

    Pages 53-90

    A First Approach to Quantum Mechanics

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    Chapter

    Pages 91-108

    The Free Schrödinger Equation

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    Chapter

    Pages 109-122

    A Particle in a Square Well

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    Chapter

    Pages 123-130

    Perspectives on the Spectral Theorem

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    Chapter

    Pages 131-152

    The Spectral Theorem for Bounded Self-Adjoint Operators: Statements

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    Chapter

    Pages 153-168

    The Spectral Theorem for Bounded Self-Adjoint Operators: Proofs

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    Chapter

    Pages 169-200

    Unbounded Self-Adjoint Operators

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    Chapter

    Pages 201-226

    The Spectral Theorem for Unbounded Self-Adjoint Operators

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    Chapter

    Pages 227-238

    The Harmonic Oscillator

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    Chapter

    Pages 239-253

    The Uncertainty Principle

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    Chapter

    Pages 255-277

    Quantization Schemes for Euclidean Space

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    Chapter

    Pages 279-304

    The Stone–von Neumann Theorem

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    Chapter

    Pages 305-331

    The WKB Approximation

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    Chapter

    Pages 333-366

    Lie Groups, Lie Algebras, and Representations

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    Chapter

    Pages 367-391

    Angular Momentum and Spin

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    Chapter

    Pages 393-418

    Radial Potentials and the Hydrogen Atom

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    Chapter

    Pages 419-440

    Systems and Subsystems, Multiple Particles

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    Chapter

    Pages 441-454

    The Path Integral Formulation of Quantum Mechanics

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