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...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Edice: | Graduate Texts in Mathematics
267 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quantum theory for mathematicians, Brian C. Hall, 2013, New York [etc.], Springer, 1 vol. (XVI-554 p.), Graduate texts in mathematics, 978-1-461-47115-8, Texte imprimé |
Obsah:
- 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