TY  - BOOK
AU  - Bongaarts,Peter
TI  - Quantum theory: a mathematical approach 
SN  - 9783319095608
U1  - 530.12 23
PY  - 2015///
CY  - Cham : 
PB  - Springer, 
KW  - Quantum theory
KW  - Mathematics
N1  - 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
N2  - 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
ER  -