Probability Distributions in Quantum Statistical Mechanics
Author | : Mark A. Kon |
Publisher | : Springer |
Total Pages | : 126 |
Release | : 2006-11-14 |
Genre | : Science |
ISBN | : 3540396373 |
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Author | : Mark A. Kon |
Publisher | : Springer |
Total Pages | : 126 |
Release | : 2006-11-14 |
Genre | : Science |
ISBN | : 3540396373 |
Author | : Jan Naudts |
Publisher | : Springer Science & Business Media |
Total Pages | : 209 |
Release | : 2011-02-07 |
Genre | : Mathematics |
ISBN | : 0857293559 |
The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.
Author | : Yemima Ben-Menahem |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2012-01-25 |
Genre | : Science |
ISBN | : 3642213286 |
What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
Author | : Bernard H. Lavenda |
Publisher | : Courier Dover Publications |
Total Pages | : 385 |
Release | : 2016-10-20 |
Genre | : Science |
ISBN | : 0486810313 |
Suitable for graduate students in chemical physics, statistical physics, and physical chemistry, this text develops an innovative, probabilistic approach to statistical mechanics. The treatment employs Gauss's principle and incorporates Bose-Einstein and Fermi-Dirac statistics to provide a powerful tool for the statistical analysis of physical phenomena. The treatment begins with an introductory chapter on entropy and probability that covers Boltzmann's principle and thermodynamic probability, among other topics. Succeeding chapters offer a case history of black radiation, examine quantum and classical statistics, and discuss methods of processing information and the origins of the canonical distribution. The text concludes with explorations of statistical equivalence, radiative and material phase transitions, and the kinetic foundations of Gauss's error law. Bibliographic notes complete each chapter.
Author | : Josef Honerkamp |
Publisher | : Springer Science & Business Media |
Total Pages | : 519 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662047632 |
The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.
Author | : Claus Beisbart |
Publisher | : Oxford University Press |
Total Pages | : 450 |
Release | : 2011-09-15 |
Genre | : Philosophy |
ISBN | : 0199577439 |
This volume provides a philosophical appraisal of probabilities in all of physics. It makes sense of probabilistic statements as they occur in the various physical theories and models and presents a plausible epistemology and metaphysics of probabilities.
Author | : Nikolai Sergeevich Krylov |
Publisher | : Princeton University Press |
Total Pages | : 313 |
Release | : 2014-07-14 |
Genre | : Science |
ISBN | : 1400854741 |
Initially published in Moscow in 1950 following the author's death, this book contains the first chapters of a large monograph Krylov planned entitled The foundations of physical statistics," his doctoral thesis on "The processes of relaxation of statistical systems and the criterion of mechanical instability," and a small paper entitled "On the description of exhaustively complete experiments." Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Oliver Penrose |
Publisher | : Courier Corporation |
Total Pages | : 275 |
Release | : 2014-07-21 |
Genre | : Science |
ISBN | : 0486151867 |
Starting with primary physical assumptions and their idealization in the form of postulates, this text examines the consequences of these postulates, concluding with an analysis of entropy. Solutions. 1970 edition.
Author | : Terrell L. Hill |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2013-04-26 |
Genre | : Science |
ISBN | : 0486318567 |
Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.
Author | : Aleksandr I?Akovlevich Khinchin |
Publisher | : Courier Corporation |
Total Pages | : 212 |
Release | : 1949-01-01 |
Genre | : Mathematics |
ISBN | : 9780486601472 |
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.