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101 0 $aeng
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200 10$aThe Statistical Mechanics of Quantum Lattice Systems$b[electronic resource] $eA Path Integral Approach /$fSergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael Ro?ckner
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009
215   $a1 online resource (392 pages)
225 0 $aEMS Tracts in Mathematics (ETM)$v8
330   $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.
517   $aStatistical Mechanics of Quantum Lattice Systems 
606   $aAnalytical mechanics$2bicssc
606   $aStatistical mechanics, structure of matter$2msc
606   $aFunctional analysis$2msc
615 07$aAnalytical mechanics
615 07$aStatistical mechanics, structure of matter
615 07$aFunctional analysis
686   $a82-xx$a46-xx$2msc
700   $aAlbeverio$b Sergio$044256
702   $aKondratiev$b Yuri
702   $aKozitsky$b Yuri
702   $aRo?ckner$b Michael
801  0$bch0018173
906   $aBOOK
912   $a9910151933203321
996   $aThe Statistical Mechanics of Quantum Lattice Systems$92565446
997   $aUNINA