Mathematical physics

This volume is the fifth in a series of proceedings which started in 1999.

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early 1980s and including most of the work done by this Chinese group led by Zhou and Guo since.

The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis.

This volume is a collection of articles written by Professor M Ohya over the past three decades in the areas of quantum teleportation, quantum information theory, quantum computer, etc.

Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence.

This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts.

This monograph presents recent developments in quantum field theory at finite temperature.

The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory.

This book contains a collection of essays written in honor of Wolfhart Zimmermann's 80th birthday, most of them based on talks presented at a symposium in his honor.

Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster.

This proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals - New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23-28, 2007.

Contemporary quantum field theory is mainly developed as quantization of classical fields.

This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods.

Professor Kuang-Chao Chou (also known as Guang-Zhao Zhou) is the former President of Chinese Academy of Sciences.

This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science.

The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution).

This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.

This book provides an interdisciplinary introduction to the notion of fractal time, starting from scratch with a philosophical and perceptual puzzle.

This book contains the Proceedings of the Seventh Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on June 20-24, 2016.

This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations.

The International Congress on Mathematical Physics is the flagship conference in this exciting field.

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted.

This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras.

This book contains recent contributions in the field of waves propagation and stability in continuous media.

The Maxwell, Einstein, Schrodinger and Dirac equations are considered the most important equations in all of physics.

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field - including some innovations by the authors themselves - that have not appeared in any other book.

The aim of the book is to provide a new and fruitful approach to the challenging problems of modern physics, astrophysics, and cosmology.

The volume collects papers from talks given at QMath11 - Mathematical Results in Quantum Physics, which was held in Hradec Kralove, September 2010.

This volume is based on lectures given during the program "e;Complex Quantum Systems"e; held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010.

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

The International Congress on Mathematical Physics is a major conference in its field that attracts a very wide spectrum of researchers.

Although contact geometry and topology is briefly discussed in V I Arnol'd's book "e;Mathematical Methods of Classical Mechanics "e;(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.

Atomic correlations have been studied in physics for over 50 years and known as collective effects until recently when they came to be recognized as a source of entanglement.

This book aims to provide advanced students and researchers with the text on a nonperturbative, thermodynamically grounded, and largely analytical approach to four-dimensional Quantum Gauge Theory.

This book tries to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences.

This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals.

This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems.

This book summarizes unique research findings on the hydrodynamic behavior of ice particles (ice crystals, snow, graupel and hailstones) in the atmosphere.

This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory.

It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz.

'This is an excellent, well-written and very comprehensive book covering many topics of mathematics and physics.

'The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems.

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations.

Symbolic dynamics is a coarse-grained description of dynamics.

This volume presents lecture notes of the 12th International School of Theoretical Physics held in 2016 in Rzeszow, Poland.

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses.

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics.

The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography - the disciplines that have been on the cutting edge of theoretical high energy physics and other fields.

This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory.