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Hilbert Space Operators in Quantum Physics
Buch von Jirí Blank (u. a.)
Sprache: Englisch

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Beschreibung

The second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schrödinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs.

Some praise for the previous edition:

"I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder

The second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schrödinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs.

Some praise for the previous edition:

"I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder

Über den Autor

Jirí Blank graduated in 1961 from Czech Technical University and got his PhD from Charles University. Until his premature death in 1990 he was active in mathematical-physics research and teaching. He educated many excellent students.

Pavel Exner graduated in 1969 from Charles University. From 1978 to 1990 he worked in Joint Institute for Nuclear Research, Dubna, where he got his PhD and DSc degrees. After the return to Prague he headed a mathematical-physics group in the Nuclear Physics Institute of Academy of Sciences and became a professor of theoretical physics at Charles University. He authored over 150research papers to which more than thousand citations can be found. At present he is a vice president of European Mathematical Society and secretary of IUPAP commission for mathematical physics.

Miloslav Havlícek graduated in 1961 from Czech Technical University; he got his PhD from Charles University and DSc at Joint Institute for Nuclear Research, Dubna. He wrote numerous papers on algebraic methods in quantum physics. From 1990 he served repeatedly as dean of the Faculty of Nuclear Sciences and Physical Engineering and head of the Department of Mathematics.

Zusammenfassung

Self-contained and in-depth exposition of the foundations of quantum theory

The second edtion of this successful book contains chapters on new and important subjects such as quantum waveguides and quantum graphs

Includes up to 500 problems ranging from simple exercises to deeper questions testing the reader's full understanding

Extensive bibliography containing monographs as well as numerous research papers

Inhaltsverzeichnis
Some notions from functional analysis.- Hilbert spaces.- Bounded operators.- Unbounded operators.- Spectral theory.- Operator sets and algebras.- States and observables.- Position and momentum.- Time evolution.- Symmetries of quantum systems.- Composite systems.- The second quantization.- Axiomatization of quantum theory.- Composite systems.- Scattering theory.- Quantum waveguides.- Quantum graphs.
Details
Erscheinungsjahr: 2008
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xvii
664 S.
ISBN-13: 9781402088698
ISBN-10: 1402088698
Sprache: Englisch
Herstellernummer: 12273034
Einband: Gebunden
Autor: Blank, Jirí
Exner, Pavel
Havlícek, Miloslav
Auflage: 2nd 2008 edition
Hersteller: Springer Netherland
Springer International Publishing
Maße: 244 x 165 x 43 mm
Von/Mit: Jirí Blank (u. a.)
Erscheinungsdatum: 24.09.2008
Gewicht: 1,148 kg
Artikel-ID: 101749789
Über den Autor

Jirí Blank graduated in 1961 from Czech Technical University and got his PhD from Charles University. Until his premature death in 1990 he was active in mathematical-physics research and teaching. He educated many excellent students.

Pavel Exner graduated in 1969 from Charles University. From 1978 to 1990 he worked in Joint Institute for Nuclear Research, Dubna, where he got his PhD and DSc degrees. After the return to Prague he headed a mathematical-physics group in the Nuclear Physics Institute of Academy of Sciences and became a professor of theoretical physics at Charles University. He authored over 150research papers to which more than thousand citations can be found. At present he is a vice president of European Mathematical Society and secretary of IUPAP commission for mathematical physics.

Miloslav Havlícek graduated in 1961 from Czech Technical University; he got his PhD from Charles University and DSc at Joint Institute for Nuclear Research, Dubna. He wrote numerous papers on algebraic methods in quantum physics. From 1990 he served repeatedly as dean of the Faculty of Nuclear Sciences and Physical Engineering and head of the Department of Mathematics.

Zusammenfassung

Self-contained and in-depth exposition of the foundations of quantum theory

The second edtion of this successful book contains chapters on new and important subjects such as quantum waveguides and quantum graphs

Includes up to 500 problems ranging from simple exercises to deeper questions testing the reader's full understanding

Extensive bibliography containing monographs as well as numerous research papers

Inhaltsverzeichnis
Some notions from functional analysis.- Hilbert spaces.- Bounded operators.- Unbounded operators.- Spectral theory.- Operator sets and algebras.- States and observables.- Position and momentum.- Time evolution.- Symmetries of quantum systems.- Composite systems.- The second quantization.- Axiomatization of quantum theory.- Composite systems.- Scattering theory.- Quantum waveguides.- Quantum graphs.
Details
Erscheinungsjahr: 2008
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xvii
664 S.
ISBN-13: 9781402088698
ISBN-10: 1402088698
Sprache: Englisch
Herstellernummer: 12273034
Einband: Gebunden
Autor: Blank, Jirí
Exner, Pavel
Havlícek, Miloslav
Auflage: 2nd 2008 edition
Hersteller: Springer Netherland
Springer International Publishing
Maße: 244 x 165 x 43 mm
Von/Mit: Jirí Blank (u. a.)
Erscheinungsdatum: 24.09.2008
Gewicht: 1,148 kg
Artikel-ID: 101749789
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