Supermathematics And Its Applications In Statistical Physics

Download Supermathematics And Its Applications In Statistical Physics full books in PDF, epub, and Kindle. Read online Supermathematics And Its Applications In Statistical Physics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Supermathematics and its Applications in Statistical Physics

Author : Franz Wegner
Publisher : Springer
ISBN 13 : 3662491702
Total Pages : 374 pages
Book Rating : 4.6/5 (624 download)

DOWNLOAD NOW!

Book Synopsis Supermathematics and its Applications in Statistical Physics by : Franz Wegner

Download or read book Supermathematics and its Applications in Statistical Physics written by Franz Wegner and published by Springer. This book was released on 2016-03-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

Contemporary Problems in Statistical Physics

Author : George H. Weiss
Publisher : SIAM
ISBN 13 : 9781611971552
Total Pages : 267 pages
Book Rating : 4.9/5 (715 download)

DOWNLOAD NOW!

Book Synopsis Contemporary Problems in Statistical Physics by : George H. Weiss

Download or read book Contemporary Problems in Statistical Physics written by George H. Weiss and published by SIAM. This book was released on 1994-01-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described, and some of the techniques used in this research are outlined, along with principal results and outstanding questions. A wide spectrum of mathematical techniques is covered, but the main emphasis is on introducing the mathematician to different research areas with open and interesting problems. This is an ideal starting point for the mathematician with an elementary acquaintance with the methodology of statistical physics. The material is meant to be introductory and terms are carefully defined. Many topics that require further study are introduced, providing new research ideas for the applied mathematician or thesis problems for the graduate student.

Statistical Physics

Author : Hung T Diep
Publisher : World Scientific Publishing Company
ISBN 13 : 9814696277
Total Pages : 648 pages
Book Rating : 4.8/5 (146 download)

DOWNLOAD NOW!

Book Synopsis Statistical Physics by : Hung T Diep

Download or read book Statistical Physics written by Hung T Diep and published by World Scientific Publishing Company. This book was released on 2015-06-29 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter. The combination of statistical mechanics and quantum mechanics has provided an understanding of properties of matter leading to spectacular technological innovations and discoveries in condensed matter which have radically changed our daily life. The book gives the steps to follow to understand fundamental theories and to apply these to real materials.

An Introduction to Statistical Physics

Author : William Geraint Vaughan Rosser
Publisher :
ISBN 13 : 9780853123576
Total Pages : 382 pages
Book Rating : 4.1/5 (235 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Statistical Physics by : William Geraint Vaughan Rosser

Download or read book An Introduction to Statistical Physics written by William Geraint Vaughan Rosser and published by . This book was released on 1982 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Foundations of Statistical Mechanics

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486601471
Total Pages : 210 pages
Book Rating : 4.4/5 (866 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Foundations of Statistical Mechanics by : Aleksandr I?Akovlevich Khinchin

Download or read book Mathematical Foundations of Statistical Mechanics written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1949-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Systems and Their Remarkable Mathematical Structures

Author : Norbert Euler
Publisher : CRC Press
ISBN 13 : 1000423301
Total Pages : 367 pages
Book Rating : 4.0/5 (4 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Systems and Their Remarkable Mathematical Structures by : Norbert Euler

Download or read book Nonlinear Systems and Their Remarkable Mathematical Structures written by Norbert Euler and published by CRC Press. This book was released on 2021-09-07 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China just like the first two volumes, consists of contributions by world-leading experts in the subject of nonlinear systems, but in this instance only featuring contributions by leading Chinese scientists who also work in China (in some cases in collaboration with western scientists). Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained

Random Matrix Theory with an External Source

Author : Edouard Brézin
Publisher : Springer
ISBN 13 : 9811033161
Total Pages : 138 pages
Book Rating : 4.8/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Random Matrix Theory with an External Source by : Edouard Brézin

Download or read book Random Matrix Theory with an External Source written by Edouard Brézin and published by Springer. This book was released on 2017-01-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. In such models the correlation functions are known exactly for an arbitrary source and for any size of the matrices. The freedom given by the external source allows for various tunings to different classes of universality. The main interest is to use this freedom to compute various topological invariants for surfaces such as the intersection numbers for curves drawn on a surface of given genus with marked points, Euler characteristics, and the Gromov–Witten invariants. A remarkable duality for the average of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces with boundaries.

Lectures on the Mathematics of Quantum Mechanics I

Author : Gianfausto Dell'Antonio
Publisher : Springer
ISBN 13 : 9462391181
Total Pages : 459 pages
Book Rating : 4.4/5 (623 download)

DOWNLOAD NOW!

Book Synopsis Lectures on the Mathematics of Quantum Mechanics I by : Gianfausto Dell'Antonio

Download or read book Lectures on the Mathematics of Quantum Mechanics I written by Gianfausto Dell'Antonio and published by Springer. This book was released on 2015-05-25 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Mathematical Foundations of Classical Statistical Mechanics

Author : D.Ya. Petrina
Publisher : CRC Press
ISBN 13 : 1482265028
Total Pages : 352 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : D.Ya. Petrina

Download or read book Mathematical Foundations of Classical Statistical Mechanics written by D.Ya. Petrina and published by CRC Press. This book was released on 2002-04-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov

Microstates, Entropy and Quanta

Author : Don Koks
Publisher : Springer
ISBN 13 : 3030024296
Total Pages : 541 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Microstates, Entropy and Quanta by : Don Koks

Download or read book Microstates, Entropy and Quanta written by Don Koks and published by Springer. This book was released on 2019-01-25 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives. But the subject needn't be arcane. When pared back to its underlying concepts and built from the ground up, statistical mechanics takes on a charm of its own, and sheds light on all manner of physical phenomena. This book presents a straightforward introduction to the key concepts in statistical mechanics, following the popular style of the author's highly successful textbook "Explorations in Mathematical Physics". Offering a clear, conceptual approach to the subject matter, the book presents a treatment that is mathematically complete, while remaining very accessible to undergraduates. It commences by asking: why does an ink drop spread out in a bathtub of water? This showcases the importance of counting configurations, which leads naturally to ideas of microstates, energy, entropy, thermodynamics, and physical chemistry. With this foundation, the Boltzmann distribution writes itself in its fullest form, and this opens the door to the Maxwell distribution and related areas of thermal conductivity and viscosity. Quantum ideas then appear: bosons via Einstein's and Debye's theories of heat capacity, and fermions via electrical conduction and low-temperature heat capacity of metals. The text ends with a detailed derivation of blackbody radiation, and uses this to discuss the greenhouse effect, lasers, and cosmology. Suitable for use with core undergraduate courses in statistical mechanics and thermodynamics, this book concentrates on using solid mathematics, while avoiding cumbersome notation. All the necessary mathematical steps are included in the body of the text and in the worked examples. Reviews of Explorations in Mathematical Physics by Don Koks, 2006 "With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity... look forward to having your geometric intuition nourished and expanded by the author's intelligent commentaries." (Eugen Merzbacher, University of North Carolina) "... an interesting supplement to standard texts for teaching mathematical methods in physics, as it will add alternative views that could serve as additional material." (S. Marcelja, Australian Journal of Physics) "... a tour through the main ideas forming the language of modern mathematical physics ...it is a difficult task for the author to decide what is a good balance between the topics and their presentation, but in this case it has been achieved. ...for those physicists who would like to be exposed to clear motivation and careful explanation of the basics of the present-day apparatus of mathematical physics." (Ivailo Mladenov, Mathematical Reviews).

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

Author : Oliver Bühler
Publisher : American Mathematical Soc.
ISBN 13 : 0821842323
Total Pages : 165 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis A Brief Introduction to Classical, Statistical, and Quantum Mechanics by : Oliver Bühler

Download or read book A Brief Introduction to Classical, Statistical, and Quantum Mechanics written by Oliver Bühler and published by American Mathematical Soc.. This book was released on 2006-10-12 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Lectures on the Random Field Ising Model

Author : Slava Rychkov
Publisher : Springer Nature
ISBN 13 : 3031420004
Total Pages : 71 pages
Book Rating : 4.0/5 (314 download)

DOWNLOAD NOW!

Book Synopsis Lectures on the Random Field Ising Model by : Slava Rychkov

Download or read book Lectures on the Random Field Ising Model written by Slava Rychkov and published by Springer Nature. This book was released on 2023-10-09 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the Random Field Ising Model (RFIM) – a paradigmatic spin model featuring a frozen disordering field. The focus is on the second-order phase transition between the paramagnetic and ferromagnetic phases, and the associated critical exponents. The book starts by summarizing the current knowledge about the RFIM from experiments, numerical simulations and rigorous mathematical results. It then reviews the classic theoretical works from the 1970’s which suggested a property of dimensional reduction – that the RFIM critical exponents should be the same as for the ordinary, non-disordered, Ising model of lower dimensionality, and related this an emergent Parisi-Sourlas supersymmetry. As is now known, these remarkable properties only hold when the spatial dimensionality of the model is larger than a critical dimension. The book presents a method to estimate the critical dimension, using standard tools such as the replica trick and perturbative renormalization group, whose result is in agreement with the numerical simulations. Some more elementary steps in the derivations are left as exercises for the readers. This book is of interest to researchers, PhD students and advanced master students specializing in statistical field theory.

Operator Algebras and Quantum Statistical Mechanics 1

Author : Ola Bratteli
Publisher :
ISBN 13 : 9783662025215
Total Pages : 520 pages
Book Rating : 4.0/5 (252 download)

DOWNLOAD NOW!

Book Synopsis Operator Algebras and Quantum Statistical Mechanics 1 by : Ola Bratteli

Download or read book Operator Algebras and Quantum Statistical Mechanics 1 written by Ola Bratteli and published by . This book was released on 2014-01-15 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Concept of Probability in Statistical Physics

Author : Y. M. Guttmann
Publisher : Cambridge University Press
ISBN 13 : 0521621283
Total Pages : 283 pages
Book Rating : 4.5/5 (216 download)

DOWNLOAD NOW!

Book Synopsis The Concept of Probability in Statistical Physics by : Y. M. Guttmann

Download or read book The Concept of Probability in Statistical Physics written by Y. M. Guttmann and published by Cambridge University Press. This book was released on 1999-07-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Operator algebras and quantum statistical mechanics

Author : Ola Bratteli
Publisher :
ISBN 13 : 9783540091875
Total Pages : 500 pages
Book Rating : 4.0/5 (918 download)

DOWNLOAD NOW!

Book Synopsis Operator algebras and quantum statistical mechanics by : Ola Bratteli

Download or read book Operator algebras and quantum statistical mechanics written by Ola Bratteli and published by . This book was released on 1979 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

C*-algebras and Their Applications to Statistical Mechanics and Quantum Field Theory

Author : Società italiana de fisica
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.X/5 (1 download)

DOWNLOAD NOW!

Book Synopsis C*-algebras and Their Applications to Statistical Mechanics and Quantum Field Theory by : Società italiana de fisica

Download or read book C*-algebras and Their Applications to Statistical Mechanics and Quantum Field Theory written by Società italiana de fisica and published by Elsevier Science & Technology. This book was released on 1976 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Dynamics

Author : Vasily E. Tarasov
Publisher : Springer
ISBN 13 : 9783642140020
Total Pages : 505 pages
Book Rating : 4.1/5 (4 download)

DOWNLOAD NOW!

Book Synopsis Fractional Dynamics by : Vasily E. Tarasov

Download or read book Fractional Dynamics written by Vasily E. Tarasov and published by Springer. This book was released on 2011-01-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.