Mathematical Physics category: 1075 books

Cover of Fractional Diffusion Equations and Anomalous Diffusion
by Luiz Roberto Evangelista, Ervin Kaminski Lenzi
Language: English
Release Date: January 25, 2018

Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent...
Cover of Self-adjoint Extensions in Quantum Mechanics

Self-adjoint Extensions in Quantum Mechanics

General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials

by D.M. Gitman, I.V. Tyutin, B.L. Voronov
Language: English
Release Date: April 27, 2012

This exposition is devoted to a consistent treatment of quantization problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces. The authors begin by considering quantization problems in general, emphasizing the nontriviality...
Cover of Rate-Independent Systems

Rate-Independent Systems

Theory and Application

by Alexander Mielke, Tomáš Roubíček
Language: English
Release Date: October 21, 2015

This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have been working on with a lot of collaborators over 15 years. The focus is mostly on fully rate-independent systems, first on an abstract level either with or even...
Cover of Mathematical Models for Poroelastic Flows
by Anvarbek Meirmanov
Language: English
Release Date: November 29, 2013

The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means...
Cover of New Approaches to Nonlinear Waves
by
Language: English
Release Date: August 19, 2015

The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing...
Cover of Models.Behaving.Badly.

Models.Behaving.Badly.

Why Confusing Illusion with Reality Can Lead to Disaster, on Wall Street and in Life

by Emanuel Derman
Language: English
Release Date: October 25, 2011

Now in paperback, “a compelling, accessible, and provocative piece of work that forces us to question many of our assumptions” (Gillian Tett, author of Fool’s Gold). Quants, physicists working on Wall Street as quantitative analysts, have been widely blamed for triggering financial crises...
Cover of Uncommon Paths in Quantum Physics
by Konstantin V. Kazakov
Language: English
Release Date: June 26, 2014

Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some...
Cover of The Physics of Reality

The Physics of Reality

Space, Time, Matter, Cosmos

by Richard L Amoroso, Louis H Kauffman, Peter Rowlands
Language: English
Release Date: September 18, 2013

A truly Galilean-class volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted...
Cover of Universal Formulas in Integral and Fractional Differential Calculus
by Khavtgai Namsrai
Language: English
Release Date: December 17, 2015

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators. Despite the great success of numerical calculations due...
Cover of Introduction to the Statistical Physics of Integrable Many-body Systems
by Ladislav Šamaj, Zoltán Bajnok
Language: English
Release Date: May 16, 2013

Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and...
Cover of Open Quantum Systems

Open Quantum Systems

An Introduction

by Ángel Rivas, Susana F. Huelga
Language: English
Release Date: October 1, 2011

In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics,...
Cover of Spectral Theory and Quantum Mechanics

Spectral Theory and Quantum Mechanics

With an Introduction to the Algebraic Formulation

by Valter Moretti
Language: English
Release Date: April 2, 2013

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical...
Cover of Mathematical Methods for Physics and Engineering
by K. F. Riley, M. P. Hobson, S. J. Bence
Language: English
Release Date: March 13, 2006

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters...
Cover of Quantum Mechanics and Quantum Field Theory
by Jonathan Dimock
Language: English
Release Date: February 3, 2011

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum...
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