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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion

Anyons --- Quantum theory. --- Quantum statistics. --- Particles (Nuclear physics) --- Quantum statistical mechanics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Statistical methods.

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In the processes studied in contemporary physics one encounters the most diverse conditions: temperatures ranging from absolute zero to those found in the cores of stars, and densities ranging from those of gases to densities tens of times larger than those of a solid body. Accordingly, the solution of many problems of modern physics requires an increasingly large volume of information about the propertiesofmatterundervariousconditions,includingextremeones. Atthesame time, there is a demand for an increasing accuracy of these data, due to the fact thatthereliabilityandcomputationalsubstantiationofmanyuniquetechnological devices and physical installations depends on them. The relatively simple models ordinarily described in courses on theoretical physics are not applicable when we wish to describe the properties of matter in a su?ciently wide range of temperatures and densities. On the other hand, expe- ments aimed at generating data on properties of matter under extreme conditions usually face considerably technical di?culties and in a number of instances are exceedingly expensive. It is precisely for these reasons that it is important to - velop and re?ne in a systematic manner quantum-statistical models and methods for calculating properties of matter, and to compare computational results with data acquired through observations and experiments. At this time, the literature addressing these issues appears to be insu?cient. If one is concerned with opacity, which determines the radiative heat conductivity of matter at high temperatures, then one can mention, for example, the books of D. A. Frank-Kamenetskii [67], R. D. Cowan [49], and also the relatively recently published book by D.

Quantum statistics. --- High temperature plasmas. --- Equations of state. --- Plasma density. --- Density, Plasma --- Plasma (Ionized gases) --- Equation of state --- Chemistry, Physical and theoretical --- Matter --- Hot plasmas --- Plasmas, High temperature --- Gases at high temperatures --- Quantum statistical mechanics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics --- Properties --- Physics. --- Condensed matter. --- Condensed Matter Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Solids