MARC Record from marc_columbia

LEADER: 03736cam a2200589Ma 4500
001 16273008
005 20220716225137.0
006 m o d
007 cr |n|||||||||
008 091204s2009 sz ob 001 0 eng d
035 $a(OCoLC)ocn655649638
035 $a(NNC)16273008
040 $aCOO$beng$cCOO$dOCLCQ$dOCLCF$dOCLCO$dOCLCQ$dLLB$dOCLCQ$dHEBIS$dOCLCO$dSTF$dINT$dOCLCQ$dOCLCA$dN$T$dOCLCO$dYDX
020 $a9783037190708
020 $a3037190701
020 $a3037195703
020 $a9783037195703$q(electronic bk.)
024 70 $a10.4171/070$2doi
035 $a(OCoLC)655649638
050 14 $aQC174.85.L38$bA43 2009
072 7 $aPHDD$2bicssc
082 04 $a530.13/3$222
084 $a82-xx$a46-xx$2msc
049 $aZCUA
100 1 $aAlbeverio, Sergio.
245 14 $aThe statistical mechanics of quantum lattice systems :$ba path integral approach. /$cSergio Albeverio [and others].
260 $aZurich :$bEuropean Mathematical Society,$c©2009.
300 $a1 online resource (xiii, 379 pages).
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aTracts in mathematics
504 $aIncludes bibliographical references (pages 355-371) and index.
520 $aQuantum statistical mechanics plays a major role in many fields such as, for instance, 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.
505 0 $aQuantum mechanics and stochastic analysis -- Lattice approximation and applications -- Euclidean Gibbs measures of quantum crystals -- Quantum anharmonic crystal as a physical model -- Thermodynamic pressure -- Phase transitions -- Quantum effects -- Bibliography -- List of symbols -- Index.
650 0 $aStatistical mechanics.
650 0 $aOscillators, Crystal.
650 6 $aMécanique statistique.
650 6 $aOscillateurs à quartz.
650 07 $aAnalytical mechanics.$2bicssc
650 7 $aOscillators, Crystal.$2fast$0(OCoLC)fst01048670
650 7 $aStatistical mechanics.$2fast$0(OCoLC)fst01132070
650 7 $aQuantenmechanisches System$2gnd
650 7 $aStatistische Mechanik$2gnd
650 7 $aPfadintegral$2gnd
650 07 $aStatistical mechanics, structure of matter.$2msc
650 07 $aFunctional analysis.$2msc
655 4 $aElectronic books.
830 0 $aEMS tracts in mathematics ;$v8.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16273008$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS