Mathematical physics

Problems involving synthesis of mathematical models of various physical systems, making use of these models in practice and verifying them qualitatively has - come an especially important area of research since more and more physical - periments are being replaced by computer simulations.

Yet another book on wavelets.

This is the first comprehensive monograph on a new thermodynamic theory that goes beyond the classical theory of irreversible processes.

Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.

The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter.

This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations.

Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc.

This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics.

This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy.

Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.

Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character.

This book has evolved from lectures devoted to applications of the Wentzel - Kramers - Brillouin- (WKB or quasi-classical) approximation and of the method of 1/N -expansion for solving various problems in atomic and nuclear physics.

As the applications of wavelet transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview.

It is with pleasure that I write the foreword to this excellent book.

Following the birth of the laser in 1960, the field of "e;nonlinear optics"e; rapidly emerged.

The textbooks "e;Solid State Theory"e; give an introduction to the methods, contents and results of modern solid state physics in two volumes.

The textbooks "e;Solid State Theory"e; give an introduction to the methods, contents and results of modern solid state physics in two volumes.

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.

This monograph forms an interdisciplinary study in atomic, molecular, and quantum information (QI) science.

There are many examples of cooperation in Nature: cells cooperate to form tissues, organs cooperate to form living organisms, and individuals cooperate to raise their offspring or to hunt.

This work develops novel data analysis techniques enabling aspects of the Standard Model of particle physics to be tested with unprecedented precision using data from the DZero experiment at the high energy "e;Tevatron"e; proton-antiproton collider at Fermilab, Chicago.

The spectacular success of the scientific enterprise over the last four hundred years has led to the promise of an all encompassing vision of the natural world.

Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject.

A major outstanding problem in physics is understanding the nature of the dark energy that is driving the accelerating expansion of the Universe.

Central to this thesis is the characterisation and exploitation of electromagnetic properties of light in imaging and measurement systems.

Physics underlies all complexity, including our own existence: how is this possible?

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.

There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics.

"e;Pseudochaotic Kicked Oscillators: Renormalization, Symbolic Dynamics, and Transport"e; presents recent developments in pseudochaos, which is concerned with complex branching behaviors of dynamical systems at the interface between orderly and chaotic motion.

The basic idea, simple and revolutionary at the same time, to replace the concept of a point particle with a one-dimensional string, has opened up a whole new field of research.

Quarks are the main constituents of protons and neutrons and hence are important building blocks of all the matter that surrounds us.

"e;Finsler Geometry: An Approach via Randers Spaces"e; exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form.

Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics.

The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics.

With the aim of providing a deeper insight into possible mechanisms of biological self-organization, this thesis presents new approaches to describe the process of self-assembly and the impact of spatial organization on the function of membrane proteins, from a statistical physics point of view.

There have been many significant advances in time-dependent density functional theory over recent years, both in enlightening the fundamental theoretical basis of the theory, as well as in computational algorithms and applications.

This monograph forms an interdisciplinary study in atomic, molecular, and quantum information (QI) science.

Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost.

This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrodinger-Virasoro algebra.

At extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate.

There are nearly 100 000 different protein sequences encoded in the human genome, each with its own specific fold.

This thesis addresses optical binding - a new area of interest within the field of optical micromanipulation.

Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics.

This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry.

This book provides an original introduction to the geometry of Minkowski space-time.

This is an introductory book to path integral methods in ?

From the reviews: "e;.

With contributions from a team of leading experts, this volume provides a comprehensive survey of recent achievements in our scientific understanding of evolution.

Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology.