Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

Steeb W.-H.

ISBN 10: 9401062412 / ISBN 13: 9789401062411

Editore: Springer, 2012

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Print on Demand pp. 252 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

Codice articolo 133809793

Dati bibliografici

• Titolo: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 9401062412
• ISBN 13: 9789401062411
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics.
Audience: The book is suitable for graduate students in physics and mathematics.

Contenuti

List of Symbols. Preface. 1. Hilbert Spaces. 2. Fourier Transform and Wavelets. 3. Linear Operators in Hilbert Spaces. 4. Generalized Functions. 5. Classical Mechanics and Hamilton Systems. 6. Postulates of Quantum Mechanics. 7. Interaction Picture. 8. Eigenvalue Problem. 9. Spin Matrices and Kronecker Product. 10. Parity and Group Theory. 11. Uncertainty Relation. 12. Harmonic Oscillator. 13. Coherent and Squeezed States. 14. Angular Momentum and Lie Algebras. 15. Two-Body Bound State Problem. 16. One-Dimensional Scattering. 17. Solitons and Quantum Mechanics. 18. Perturbation Theory. 19. Helium Atom. 20. Potential Scattering. 21. Berry Phase. 12. Measurement and Quantum States. 13. Quantum Computing. 24. Lebesgue Integration and Stieltjes Integral. Bibliography. Index.