Mathematical physics

Quantum Mechanics Using Maple permits the study of quantum mechanics in a novel, interactive way using the computer algebra and graphics system Maple V.

This book investigates in detail the mathematical methods and computation methods in efficient solution of some open nonlinear seepage flow problems involved in engineering problems.

This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics.

This is the first book on elliptic quantum groups, i.

It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "e;mysteriously"e; transformed through measurement into an observable classical event.

In this graduate-level book, leading researchers explore various new notions of ''space'' in mathematical physics.

This book provides a systematic study of spectral and scattering theory  for many-body Schrodinger operators at two-cluster thresholds.

This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix.

This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers.

This book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.

This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way.

In the present work, the target station of the accelerator-driven neutron source HBS is optimized in comprehensive parameter studies using the Monto-Carlo method.

This book offers a timely report on methods for risk assessment procedures for dams, with a special emphasis on dams with small storage dimensions.

The primary purpose of this book is to help scientists and engineers work- ing intensively with computers to become more productive, have more fun, and increase the reliability of their investigations.

Thermal processes are ubiquitous and an understanding of thermal phenomena is essential for a complete description of the physics of nanoparticles, both for the purpose of modeling the dynamics of the particles and for the correct interpretation of experimental data.

Recent groundbreaking discoveries in physics, including the discovery of the Higgs Boson and gravitational waves, have relied on chi-squared analysis and model testing, a data analysis method.

Fuzzy Logic Foundations and Industrial Applications is an organized edited collection of contributed chapters covering basic fuzzy logic theory, fuzzy linear programming, and applications.

This volume contains the Proceedings of the NATO Advanced Research Workshop (ARW) and Emil-Warburg-Symposium (EWS) "e;Nonlinear Coherent Structures in Phy- sics and Biology"e; held at the University of Bayreuth from June 1 -4, 1993.

Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.

The Feynman integral is considered as an intuitive representation of quantum mechanics showing the complex quantum phenomena in a language comprehensible at a classical level.

Half a century ago, S.

The material included in this book was first presented in a series of lectures de- livered at the University of Minnesota in June 1983 in connection with the con- ference "e;Thermodynamics and Phase Transitions"e;.

Dynamics of Topological Magnetic Solitons gives a theoretical and experimental review of the dynamics of high-speed domain walls and Bloch lines.

This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems.

This book begins with the eigenvalue equation of energy and presents calculation of the energy spectrum of GaAs-AlGaAs Quantum Well using finite difference method and knowledge of potential energy profile, without using expressions for eigenfunctions, continuity of eigenfunctions, or their spatial derivatives at the two abrupt potential steps.

The book presents a history of classical mechanics by focusing on issues of equilibrium.

This book introduces the theory of stochastic processes with applications taken from physics and finance.

This book is about the dark photon which is a new gauge boson whose existence has been conjectured.

In this book we describe the basic principles, problems, and methods of cl- sical mechanics.

This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871).

This book introduces and critically appraises the main proposals for how to understand quantum mechanics, namely the Copenhagen interpretation, spontaneous collapse, Bohmian mechanics, many-worlds, and others.

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics.

The book presents the theory of latticed shells as continual systems and describes its applications.

Itisaspecialpleasureformetowritethisforewordforaremarkablebookbya remarkableauthor.

Most of the matter in our universe is in a gaseous or plasma state.

This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity.

Southern Illinois University at Carbondale undertook to honor Albert Einstein as scientist and as humanitarian in commemo- ration of his lOOth birthday during an "e;Albert Einstein Centennial Week"e;, February 23 - March 2, 1979.

This monograph presents a new model of mathematical structures called weak n-categories.

In recent years there has been tremendous activity in computational neuroscience resulting from two parallel developments.

Building on Wilson's renormalization group, the authors have developed a unified approach that not only reproduces known results but also yields new results.

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their physics applications can be conceived, developed and disseminated.

This book is devoted to fractional thermoelasticity, i.

Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods.

Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

When the First Edition of this book was written in 1951, the gas turbine was just becoming established as a powerplant for military aircraft.

Entropy and entropy generation play essential roles in our understanding of many diverse phenomena ranging from cosmology to biology.