ENGLISH

Hilbert Space Operators in Quantum Physics Theoretical and Mathematical Physics

By Pavel Exner , Jirí Blank , Miloslav Havlícek

Book information

Publisher
N.Y., Springer ; Melville
Year
2008
ISBN
9781402088698, 1402088698
Language
english
Format
PDF
Filesize
7 MB (7063507 bytes)
Series
Theoretical and Mathematical Physics
Edition
2nd ed
Pages
677\677
Library
Kingdwarf
Time added
2010-01-07 06:59:20

Description

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.

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