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Hilbert Space Operators in Quantum Physics de Jirí Blank

Hilbert Space Operators in Quantum Physics: Theoretical and Mathematical Physics

Autor Jirí Blank, Pavel Exner, Miloslav Havlícek
en Limba Engleză Hardback – 24 sep 2008
The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
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Specificații

ISBN-13: 9781402088698
ISBN-10: 1402088698
Pagini: 664
Ilustrații: XVII, 664 p.
Dimensiuni: 155 x 235 x 38 mm
Greutate: 1.13 kg
Ediția:2nd ed. 2008
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theoretical and Mathematical Physics

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.

Recenzii

From the reviews of the second edition:
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)
"This is an excellent textbook for graduate students and young researchers in mathematics and theoretical physics. … It is a course from the basics in functional analysis to bounded and unbounded operators, including spectral theory and operator algebras. The exposition is comprehensive, but self-contained." (Michael Demuth, Zentralblatt MATH, Vol. 1163, 2009)
“As the title declares, the text presents a comprehensive presentation of linear spaces and their transformations. … this second edition contains two additional chapters on quantum treatments of waveguides and graphs. … The book considered is, no doubt, written for physicists and useful for them. … A valuable feature of this book is the extensive background material and discussions collected into separate sections. … The book does what it promises and does it well.” (Stig Stenholm, Contemporary Physics, January, 2010)

Notă biografică

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.

Textul de pe ultima copertă

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

Caracteristici

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