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hilbert space operators in quantum physics, jiri blank [pdf]

Hilbert Space Operators in Quantum Physics Theoretical and Mathematical Physics (2nd Edition) by Jirí Blank, Pavel Exner, Miloslav Havlícek

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About this book :-
Mathematical Methods for Physicists written by Jirí Blank, Pavel Exner, Miloslav Havlícek .
This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-contained, selected topics of functional analysis are included. An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more. The second edition was extended by two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography was amended by about 130 new items.

Book Detail :-
Title: Mathematical Methods for Physicists
Author(s): Jirí Blank, Pavel Exner, Miloslav Havlícek
Publisher: Springer ; Melville, N.Y.
Year: 2008
Pages: 677
Type: PDF
Language: English
ISBN: 9781402088698,1402088698
Country: Czechia
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About Author :-
The author Jiri Blank, Charles University, Prague, Czechia.
The author Pavel Exner, Doppler Institute, Bˇrehová 7, 11519 Prague, and Nuclear Physics Institute, Czech Academy of Sciences, 25068 Rˇ ezˇ near Prague

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Book Contents :-
Mathematical Methods for Physicists written by Jirí Blank, Pavel Exner, Miloslav Havlícek cover the following topics. '
1. Some notions from functional analysis
2. Hilbert spaces
3. Bounded operators
4. Unbounded operators
5. Spectral theory
6. Operator Sets And algebras
7. States and observables
8. Position and momentum
9. Time evolution
10. Symmetries of quantum systems
11. Composite systems
12. The second quantization
13. Axiomatization of quantum theory
14. Schr¨odinger operators
15. Scattering theory
16. Quantum waveguides
17. Quantum graphs
Appendices A. Measure And Integration
Appendices B. Some algebraic notions
List of symbols


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