Quantum theory : a mathematical approach / Peter Bongaarts.
Material type:
TextPublication details: Cham : Springer, 2015.Description: xxxii, 445 p. : illustrations ; 25 cmISBN: - 9783319095608
- 530.12 23 B713
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 530.12 B713 (Browse shelf(Opens below)) | Available | 137229 |
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| 530.12 B676 Geometric phase in quantum systems | 530.12 B676 Quantum theory | 530.12 B686 Philosophy of quantum information and entanglement | 530.12 B713 Quantum theory : | 530.12 B715 Quantum kinetic theory / | 530.12 B748 Lecture notes in topics in path integrals and string representations / | 530.12 B782 Physics of quantum information |
Includes bibliographical references and indexes.
Part I The main text :
1. Introduction --
2. Classical mechanics --
3. Quantum theory: general principles --
4. Quantum mechanics of a single particle I --
5. Quantum mechanics of a single particle I I --
6. The Harmonic oscillator --
7. The Hydrogen atom --
8. Spin: atomic structure --
9. Many particle systems --
10. Review of classical statistical physics --
11. Quantum statistical physics --
12. Physical theories as algebraic systems --
13. Quantization --
14. Scattering theory --
15. Towards relativistic quantum theory --
16. Quantum Field theory and particle physics: an introduction --
17. Concluding remarks --
Part II Supplementary Material:
18. Topology --
19. Measure and integral --
20. Manifolds --
21. Functional analysis: Hilbert space --
22. Probability theory --
23. Tensor products --
24. Lie groups and lie algebras --
25. Generalized functions --
26. Dirac's bra-ket formalism --
27. Algebras, states, representations.
This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.
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