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The statistical mechanics of quantum...

Albeverio, Sergio.

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The statistical mechanics of quantum lattice systems : = a path integral approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The statistical mechanics of quantum lattice systems :/ Sergio Albeverio ... [et al.]
Reminder of title:	a path integral approach /
Author:	Albeverio, Sergio.
Published:	Zurich :European Mathematical Society, : c2009.,
Description:	xiii, 379 p. :ill :25 cm.
Subject:	Statistical mechanics. -
ISBN:	9783037190708 (hbk.) :

The statistical mechanics of quantum lattice systems : = a path integral approach /
Albeverio, Sergio.

The statistical mechanics of quantum lattice systems :a path integral approach /Sergio Albeverio ... [et al.] - Zurich :European Mathematical Society,c2009. - xiii, 379 p. :ill :25 cm. - EMS tracts in mathematics ;v8. - EMS tracts in mathematics ;11..

Includes bibliographical references (p. [355]-371) and index.

"Quantum statistical mechanics plays a major role in many fields such as thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics."--Publisher's description.

ISBN: 9783037190708 (hbk.) :US78.00

LCCN: 2009504132Subjects--Topical Terms:

520584
Statistical mechanics.

LC Class. No.: QC174.85.L38 / .A43 2009

Dewey Class. No.: 530.13/3

The statistical mechanics of quantum lattice systems : = a path integral approach /
LDR:02110cam a2200217 a 4500 001 1266146
003 OCoLC
005 20120724033106.0
008 120822s2009 sz b 001 0 eng d
010 $a 2009504132
020 $a 9783037190708 (hbk.) : $c US78.00
020 $a 3037190701 (hbk.)
035 $a AS-BW-101-N-03
040 $a CIT $c CIT $d DLC $d FTU $d DAY $d OHX $d UBY $d YDXCP
050 0 0 $a QC174.85.L38 $b .A43 2009
082 0 0 $a 530.13/3 $2 22
100 1 $a Albeverio, Sergio. $3 662292
245 1 0 $a The statistical mechanics of quantum lattice systems : $b a path integral approach / $c Sergio Albeverio ... [et al.]
260 # $a Zurich : $b European Mathematical Society, $c c2009.
300 $a xiii, 379 p. : $b ill : $c 25 cm.
490 1 0 $a EMS tracts in mathematics ; $v v8
504 $a Includes bibliographical references (p. [355]-371) and index.
520 # $a "Quantum statistical mechanics plays a major role in many fields such as thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics."--Publisher's description.
650 # 0 $a Statistical mechanics. $3 520584
650 # 0 $a Oscillators, Crystal. $3 1245152
830 0 $a EMS tracts in mathematics ; $v 11. $3 1517269