Hilbert-Space Operators in Quantum Physics
Seiten
1999
American Institute of Physics (Verlag)
9781563961427 (ISBN)
American Institute of Physics (Verlag)
9781563961427 (ISBN)
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Based on lectures delivered over two decades, this text explains the theory of linear Hilbert-space operators and its use in quantum physics. The central mathematical tool of this book, the spectral theory of self-adjoint operators, is used in an analysis of the operator aspect of quantum theory.
This text, based on lectures delivered over almost two decades, explains in detail the theory of linear Hilbert-space operators and its use in quantum physics. The central mathematical tool of this book, the spectral theory of self-adjoint operators, is used in a systematic analysis of the operator aspect of quantum theory. The authors wish to provide students with basic information about the field and, perhaps, to kindle interest that will lead to further research. This text is intended to be of use to students and teachers in all fields of physics who use quantum theoretical methods, as well as researchers in theoretical and mathematical physics and mathematicians with an interest in quantum theory.
This text, based on lectures delivered over almost two decades, explains in detail the theory of linear Hilbert-space operators and its use in quantum physics. The central mathematical tool of this book, the spectral theory of self-adjoint operators, is used in a systematic analysis of the operator aspect of quantum theory. The authors wish to provide students with basic information about the field and, perhaps, to kindle interest that will lead to further research. This text is intended to be of use to students and teachers in all fields of physics who use quantum theoretical methods, as well as researchers in theoretical and mathematical physics and mathematicians with an interest in quantum theory.
Contents: 1. Some Notions from Functional Analysis. 2. Hilbert Spaces. 3. Bounded Operators. 4. Unbounded Operators. 5. Spectral Theory. 6. Operators Sets. 7. Operator Algebras. 8. States and Observables. 9. Position and Momentum. 10. Time Evolution. 11. Symmetries of Quantum Systems. 12. Composite Systems. 13. Second Quantization. 14. Axiomatization of Quantum Physics. 15. Schroedinger Operators. 16. Scattering Theory. Appendix A: Measure and Integration. Appendix B: Some algebraic notions.
| Erscheint lt. Verlag | 23.4.1999 |
|---|---|
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 1031 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Quantenphysik |
| ISBN-13 | 9781563961427 / 9781563961427 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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