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.

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