The Statistical Mechanics of Quantum Lattice Systems (Ems Tracts in Mathematics) by Yuri Kondratiev, Yuri Kozitsky, and Michael Rockner Sergio Albeverio
English | July 15, 2009 | ISBN: 3037190701 | 395 Pages | PDF | 3 MB
English | July 15, 2009 | ISBN: 3037190701 | 395 Pages | PDF | 3 MB
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.