Intermediate Spectral Theory and Quantum Dynamics (Progress in Mathematical Physics)

Description

The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. The book places emphasis on the symbiotic relationship of these two domains by (1) presenting the basic mathematics of nonrelativistic quantum mechanics of one particle, i.e., developing the spectral theory of self-adjoint operators in infinite-dimensional Hilbert spaces from the beginning, and (2) giving an overview of many of the basic functional aspects of quantum theory, from its physical principles to the mathematical models. The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and self-adjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics.



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1. Ebooks list page : 2551
2. Intermediate Spectral Theory and Quantum Dynamics
3. Methods of Spectral Analysis in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP)
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7. Quantum: The Quantum Theory of Particles, Fields and Cosmology (Theoretical and Mathematical Physics)
8. Quantum Field Theory in Condensed Matter Physics (Theoretical and Mathematical Physics)
9. Quantum Field Theory in Condensed Matter Physics (Theoretical and Mathematical Physics) (Repost)
10. Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics)
11. Numerical Quantum Dynamics (Progress in Theoretical Chemistry and Physics): Wolfgang Schweizer W. Schweizer
12. Mathematical Theory of Quantum Fields (International Series of Monographs on Physics)
13. Mathematical Theory of Quantum Fields (International Series of Monographs on Physics)
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