Hilbert Space Operators in Quantum Physics

By: Jiri Blank, Pavel Exner, Miloslav Havlicek

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Hardcover | 24 September 2008 | Edition Number 2

At a Glance

Hardcover
684 Pages

Edition Type
Revised

Dimensions(cm)
16.7 x 24.8 x 4.4

Hardcover

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Almost ?fteen years later, and there is little change in our motivation. Mathem- ical physics of quantum systems remains a lively subject of intrinsic interest with numerous applications, both actual and potential. Intheprefacetothe?rsteditionwehavedescribedtheoriginofthisbookrooted at the beginning in a course of lectures. With this fact in mind, we were naturally pleased to learn that the volume was used as a course text in many points of the world and we gladly accepted the o?er ofSpringer Verlag which inherited the rights from our original publisher, to consider preparation of a second edition. It was our ambition to bring the reader close to the places where real life dwells, and therefore this edition had to be more than a corrected printing. The ?eld is developing rapidly and since the ?rst edition various new subjects have appeared; as a couple of examples let us mention quantum computing or the major progress in theinvestigationofrandomSchr¨ odingeroperators.Thereare,however,goodsources intheliteraturewherethereadercanlearnabouttheseandothernewdevelopments.

Industry Reviews

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)

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematical Physics Science in General Maths for Scientists Particle & High-Energy Physics

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Paperback

Published: 19th October 2010

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Some notions from functional analysis	p. 1
Hilbert spaces	p. 41
Bounded operators	p. 63
Unbounded operators	p. 93
Spectral theory	p. 151
Operator sets and algebras	p. 205
States and observables	p. 251
Position and momentum	p. 293
Time evolution	p. 317
Symmetries of quantum systems	p. 357
Composite systems	p. 379
The second quantization	p. 403
Axiomization of quantum theory	p. 425
Schrodinger operators	p. 443
Scattering theory	p. 491
Quantum waveguides	p. 527
Quantum graphs	p. 561
Measure and integration	p. 595
Some algebraic notions	p. 609
References	p. 617
List of symbols	p. 647
Index	p. 651
Table of Contents provided by Blackwell. All Rights Reserved.

Hilbert Space Operators in Quantum Physics

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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