| Titolo |
The Statistical Mechanics of Quantum Lattice Systems ([EBook] :) : A Path Integral Approach / / Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael Röckner |
| Autore |
Albeverio, Sergio |
| Added Personal Name |
Kondratiev, Yuri |
| Kozitsky, Yuri |
| Röckner, Michael |
| Pubblicazione |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2009 |
| Physical Details |
1 online resource (392 pages) |
| Serie |
EMS Tracts in Mathematics (ETM) ; 8 |
| ISBN |
9783037195703 |
| Summary Note |
Quantum 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.: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/070 |
| Vedi Anche |
https://www.ems-ph.org/img/books/roeckner_mini.jpg |
| Link alle Opere Legate |
Riferimenti soggetto: .
Analytical mechanics .
Functional Analysis .
Statistical mechanics, structure of matter .
Authors:
Series:
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