Mathematical Physics category: 1075 books
Progress in Mathematical Relativity, Gravitation and Cosmology
Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimarães, Portugal, September 3-7, 2012
Language: English
Release Date: November 26, 2013
This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held inGuimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory...
Mathematical Optics
Classical, Quantum, and Computational Methods
Language: English
Release Date: October 8, 2018
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the...
by Gianfausto Dell'Antonio
Language: English
Release Date: May 24, 2016
Language: English
Release Date: May 24, 2016
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.)....
by Victor Chulaevsky, Yuri Suhov
Language: English
Release Date: September 20, 2013
Language: English
Release Date: September 20, 2013
The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems...
by Andreas Knauf
Language: English
Release Date: February 24, 2018
Language: English
Release Date: February 24, 2018
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating...
by A. N. Tikhonov, A. A. Samarskii
Language: English
Release Date: September 16, 2013
Language: English
Release Date: September 16, 2013
Thorough, advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, special functions, more. Emphasis on mathematical formulation of problems, rigorous solutions, physical interpretation of results obtained. Problems. Appendixes. Tables.
Path Integrals and Hamiltonians
Principles and Methods
Language: English
Release Date: March 27, 2014
Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and...
Mathematical Modeling in Diffraction Theory
Based on A Priori Information on the Analytical Properties of the Solution
Language: English
Release Date: September 19, 2015
Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy,...
by Domingos H U Marchetti, Walter F Wreszinski
Language: English
Release Date: November 16, 2012
Language: English
Release Date: November 16, 2012
Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the “arrow of time”.
This monograph...
Fractional Kinetics in Space
Anomalous Transport Models
Language: English
Release Date: December 12, 2017
This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space (magnetic fields, plasma, cosmic rays, etc.). This method is based on a special mathematical analysis — fractional calculus. The reader will find in this book clear...
Quantum Triangulations
Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow
Language: English
Release Date: November 27, 2017
This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic.
Research on polyhedral manifolds...
Mathematical Physics
A Modern Introduction to Its Foundations
Language: English
Release Date: July 27, 2013
The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential...
Spectral Theory and Quantum Mechanics
Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation
Language: English
Release Date: January 30, 2018
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention...
Quantum Spin Systems on Infinite Lattices
A Concise Introduction
Language: English
Release Date: March 20, 2017
This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom – and quantum spin systems in particular – using the operator algebraic approach. Here, the observables are modeled using elements of some operator...