Mathematical physics Books

Stefan Nanz investigates the necessity for threemultipole families in classical electrodynamics. He shows that by imposingsymmetry and parity constraints, it is sufficient to deal with only twomultipole families. This implies that the toroidal multipole...

Matthias Würlpresents two essential steps to implement offline PET monitoring of proton dosedelivery at a clinical facility, namely the setting up of an accurate MonteCarlo model of the clinical beamline and the experimental validation ofpositron emitter...

Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum...

This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic,...

André Röhm investigates the dynamic properties of two-state lasing quantum dot lasers, with a focus on ground state quenching. With a novel semi-analytical approach, different quenching mechanisms are discussed in an unified framework and verified with...

Paul M. Geffert analyses the interplay of noise and time delay in non-excitable nonlinear systems and the modulation of stochastic effects. In particular, the author studies coherence resonance, which is a constructive effect of noise that occurs in...

Marco Schröter investigates the influence of the local environment on the exciton dynamics within molecular aggregates, which build, e.g., the light-harvesting complexes of plants, bacteria or algae by means of the hierarchy equations of motion (HEOM)...

Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods,...

The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed...

"Signal Processing and Systems Theory" is concerned with the study of H-optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard ...

The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of 1981 by Tsui, Stormer and Gossard was absolutely unexpected since, at this time, no theoretical work existed that could predict new struc­...

Markedly apart from elementary particle physics, another current has been building up and cont i nuous ly growi ng within contemporary phys i cs for severa 1 decades, and even expanding into many other disciplines, especially...

This volume contains the lectures and contributions presented at the International Symposium on Temporal Order held in Bremen, September 17-22, 1984. Temporal order, such as a more or less regularly repeated temporal sequence...

According to its definition, Synergetics is concerned with systems that produce macroscopic spatial, temporal, or functional structures. Autowaves are·a specific, yet very important, case of spatio-temporal structures. The term...

Until recently, three principal classes had been known in the electrical cir­ cuitry. They were as follows: 1) The lumped-constant circuit, which should be called a zero-dimensional circuit, in the sense that the circuit...

Investigations in modem nonlinear analysis rely on ideas, methods and prob­ lems from various fields of mathematics, mechanics, physics and other applied sciences. In the second half of the twentieth century many prominent, ex­...

The main aim of these lectures is to tri gger the interest of the restless under­ graduate student of physical, mathematical, engineering, or biological sciences in the new and exciting multidisciplinary area of the evolution...

Self-organization of systems belonging to quite different discipl ines has been a central topic of synergetics since its beginning. I am therefore particularly plea­ sed that Hans Ulrich and Gilbert Probst have not only...

This book is based on research carried out by the author in close collabora­ tion with a number of colleagues. In particular, I wish to thank Per Bak, A. John Berlinsky, Hans C. Fogedby, Barry Frank, S. 1. Knak Jensen, David...

This volume contains the papers presented at the International Symposium on "Synergetics - From Microscopic to Macroscopic Order", held at the Wissenschafts­ kolleg z~ Berlin (Institute for Advanced Study Berlin), on July 4-8,...

Synergetics may be considered as an interdisciplinary effort dealing with the gene­ ral problem of how science can cope with complex systems. The preceding symposia on synergetics were devoted to systems of physics, chemistry...

Principles of Statistical Radiophysics is concerned with the theory of random functions (processes and fields) treated in close association with a number of ap­ plications in physics. Primarily, the book deals with radiophysics...

I am very glad that this book is now accessible to English-speaking scientists. During the three years following the publication of the original Russian edition, the method of differential approximation has been rapidly...

This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West...

According to its definition, synergetics is concerned with the cooperation of indi­ vidual parts of a system that produces macroscopic temporal, spatial or functional structures. A good deal of the volumes published within this...

Markov processes play an important role in the study of probability theory. Homogeneous denumerable Markov processes are among the main topics in the theory and have a wide range of application in various fields of science and...

This book was written, to a not inconsiderable degree, on the basis of the course "The Problems of Modern Biophysics" which the author gives to the students and postgraduates of the Biophysical Department at Moscow University...

This book contains the manuscripts of the papers delivered at the International Sym­ posium on Synergetics held at SchloB Elmau, Bavaria, Germany, from April 30 until May 5, 1979. This conference followed several previous ones...

This volume contains most of the invited papers presented at the International Work­ shop on Synergetics, Schloss E1mau, Bavaria, May 2 to.May 7, 1977. This workshop fol­ lowed an International Symposium on SynergetiGS at...

For a long time potential theory was necessarily viewed as only another chapter of mathematical physics. Developing in close connection with the theory of boundary-value problems for the Laplace operator, it led to the creation...

The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is...

Our presentation of some fundamental domains of celestial mechanics requires no special preliminary knowledge; however, the chosen mathe­ matical method is new in so far as the pure two-body motion is described by linear...

Homogeneous cosmological models, self-similar motion of self-gravitating gas and motion of gas with homogeneous deformation have important applica­ tions in the theory of evolution of the universe. In particular they can be...

Infinite series, and their analogues-integral representations, became funda­ mental tools in mathematical analysis, starting in the second half of the seven­ teenth century. They have provided the means for introducing into...

As a result of the numerical simulation of multidimensional gas dynamics problems on a computer, the output information is obtained in the form of immense arrays of numerical data. In this connection, there arises the problem...

The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug­ gested an analogous generalization for non-relativistic quantum mechanics...

The invention of quantum groups is one of the outstanding achievements of mathematical physics and mathematics in the late twentieth century. The birth of the new theory and its rapid development are results of a strong...

T. Viéville: A Few Steps Towards 3D Active Vision appears as Vol. 33 in the Springer Series in Information Sciences. A specific problem in the field of active vision is analyzed, namely how suitable is it to explicitly use 3D...

The method of normal forms is usually attributed to Poincaré although some of the basic ideas of the method can be found in earlier works of Jacobi, Briot and Bouquet. In this book, A.D.Bruno gives an account of the work of...

More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and...

In this monograph, a statistical description of natural phenomena is used to develop an information processing system capable of modeling non-linear relationships between sensory data. The system, based on self-organized,...

Computer Simulation Studies in Condensed-Matter Physics IX covers recent developments in this field. This workshop was the ninth in this series and was held at the University of Georgia, March 4-9, 1996, and these proceedings...