Mathematical physics

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 ?

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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.

New developments for hydrodynamical dynamo theory have been spurred by recent evidence of self-sustained dynamo activity in laboratory experiments with liquid metals.

Physics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes.

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles.

Modern techniques from quantum field theory are applied in this work to the description of ultracold quantum gases.

Simulation of materials at the atomistic level is an important tool in studying microscopic structures and processes.

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Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically.

Purpose and Emphasis.

The term "e; nite Fermi systems"e; usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored.

Energy exchange is a major foundation of the dynamics of physical systems, and, hence, in the study of complex multi-domain systems, methodologies that explicitly describe the topology of energy exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its control.

This expanded second edition of Relativity and the Nature of Spacetime c- tains several major changes and a number of additions to different ch- ters.

What is thermodynamics?

In recent years, gauge fields have attracted much attention in elementary par- ticle physics.

This book is a comprehensive study of the life and mathematics of Walter Noll, who is widely known as the creator of the mathematical tools of modern rational mechanics and thermodynamics.

One of the great intellectual challenges for the next few decades is the question of brain organization.

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

Lectures on Non-linear Plasma Kinetics is an introduction to modern non-linear plasma physics showing how many of the techniques of modern non-linear physics find applications in plasma physics and how, in turn, the results of this research find applications in astrophysics.