This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.
These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option.
This book aims at guiding the reader with continuity from the elements of classical equilibrium thermodynamics to the formal problems of global non equilibrium thermodynamics necessary to describe an "e;active system"e; such is a thermodynamic ecosystem.
The f2-particle coefficients of fractional parentage for the group chain SU(mn) SU(m) x SU(n) or U(mn) U(m) x U(n), with arbitrary m and n and with as many as possible symmetries, are tabulated for systems with up to six particles and for f2 equal up to three.
Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions.
The book is devoted to a unification of two major principles of invariance in physics (local gauge and local coordinate invariance) and reducing both principles to the second one in a more than 4-dimensional world.
This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications.
The success of Newton's mechanic, Maxwell's electrodynamic, Einstein's theories of relativity, and quantum mechanics is a strong argument for the space-time continuum.
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics.
Mathematical aesthetics is not discussed as a separate discipline in other books than this, even though it is reasonable to suppose that the foundations of physics lie in mathematical aesthetics.
Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natural extension of the concept of symmetry fundamental to physics.
This series of books covers all areas of computational physics, collecting together reviews where a newcomer can learn about the state of the art regarding methods and results.
In this volume, a comprehensive review is given for path integration in two- and three-dimensional homogeneous spaces of constant curvature, including an enumeration of all coordinate systems which allow separation of variables in the Hamiltonian and in the path integral.
In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects.
This book series in the rapidly growing field of computational physics offers up-to-date (submitted to the publisher by electronic mail) reviews for the researcher.
Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics.
In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms.
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics.
In this book, the author announces the class of problems called "e;entropy of knots"e; and gives an overview of modern physical applications of existing topological invariants.
This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry.
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "e;integrability"e; and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.
Remote sounding of the atmosphere has proved to be a fruitful method of obtaining global information about the atmospheres of the earth and other planets.
This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics.
This book summarizes results on the creation of a new theory of condensation which has an impact on consideration of some microscopic effects left aside in the usual nucleation theories.
This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.
