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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
** Edition: **
** Author(s): ** Jirí Blank, Pavel Exner, Miloslav Havlícek
** Publisher: ** Springer ; Melville, N.Y.
** Series: **
** 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

References

List of symbols

Index

**Note:-**

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