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Quantum Theory for Mathematicians
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2013.
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| Edition: | 1st ed. 2013. |
| Series: | Graduate Texts in Mathematics,
267 |
| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- 1 The Experimental Origins of Quantum Mechanics
- 2 A First Approach to Classical Mechanics
- 3 A First Approach to Quantum Mechanics
- 4 The Free Schrödinger Equation
- 5 A Particle in a Square Well
- 6 Perspectives on the Spectral Theorem
- 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
- 8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs
- 9 Unbounded Self-Adjoint Operators
- 10 The Spectral Theorem for Unbounded Self-Adjoint Operators
- 11 The Harmonic Oscillator
- 12 The Uncertainty Principle
- 13 Quantization Schemes for Euclidean Space
- 14 The Stone-von Neumann Theorem
- 15 The WKB Approximation
- 16 Lie Groups, Lie Algebras, and Representations
- 17 Angular Momentum and Spin
- 18 Radial Potentials and the Hydrogen Atom
- 19 Systems and Subsystems, Multiple Particles
- V Advanced Topics in Classical and Quantum Mechanics
- 20 The Path-Integral Formulation of Quantum Mechanics
- 21 Hamiltonian Mechanics on Manifolds
- 22 Geometric Quantization on Euclidean Space
- 23 Geometric Quantization on Manifolds
- A Review of Basic Material
- References. - Index.