Mathematical physics Books

Gaining a theoretical understanding of the properties of ultra-relativistic dense matter has been one of the most important and challenging goals in quantum chromodynamics (QCD). In this thesis, the author analyzes dense quark matter in QCD with gauge...

The author develops a novel analysis method for QCD sum rules (QCDSR) by applying the maximum entropy method (MEM) to arrive at an analysis with less artificial assumptions than previously held. This is a first-time accomplishment in the field.In this...

This thesis describes a novel and robust way of deriving a Hamiltonian of the interacting boson model based on microscopic nuclear energy density functional theory. Based on the fact that the multi-nucleon induced surface deformation of finite nucleus...

This thesis presents a systematic study of the orbital evolution, gravitational wave radiation, and merger remnant of the black hole-neutron star binary merger in full general relativity for the first time. Numerical-relativity simulations are performed...

The non-Gaussianity in the primordial density fluctuations is a key feature to clarify the early Universe and it has been probed with the Cosmic Microwave Background (CMB) bispectrum. In recent years, we have treated the novel-type CMB bispectra, which...

New Directions in 4-Manifold Theory.- Lecture 1: Donaldson and Seiberg-Witten Invariants.- Lecture 2: The Immersed Thorn Conjecture.- Lecture 3: Intersection Forms of Smooth 4-Manifolds.- References.- On the Regularity of Classical Field Theories in...

The relevance of commutator methods in spectral and scattering theory has been known for a long time, and numerous interesting results have been ob­ tained by such methods. The reader may find a description and references in...

1 The Abstract Cauchy Problem.- 1. Well-Posedness of the Differential Cauchy Problem in C(E).- 1. The Cauchy problem in a Banach space E. Definition of well-posedness in C(E).- 2. Examples of well-posed and ill-posed problems in C(E).- 3. The homogeneous...

This book deals with asymptotic solutions of linear and nonlinear equa­ tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the...

Der physikalischen Forschung stehen bekanntlich zwei verschiedene Methoden zur Verfiigung: die experimentelle und die theoretische. Die Werkzeuge des Experimentalphysikers sind die physikalischen MeBinstrumente, seine ...

Die technische Entwicklung verlangt Maschinen und Mechanismen, die schneller laufen, leichter gebaut sind und genauer, zuverlassiger und wirtschaftlicher arbeiten als ihre Vorganger. Schwingungsprobleme, auf die man frtiher in...

This volume collects the papers given at the European Workshop "Theoretical and Experimental Investigations of Hadronic Few-Body Systems" which, adhering to an invitation of the European Few-Body­ Physics Research Committee,...

Dieses Buch ist entstanden aus VerOffentlichungen, Vortragen und Vor­ lesungsreihen sowie im Rahmen von Forschungsarbeiten des Verfassers auf den Sachgebieten Raumfahrtenergietechnik, Energiewandlung und Energie­ speicherung...

In this final volume I have tried to present the subject of statistical mechanics in accordance with the basic principles of the series. The effort again entailed following Gustav Mahler's maxim, "Tradition = Schlamperei" (i.e...

The reader who is somewhat acquainted with the field of compressible fluid flow hears much about Stefan Bergman's method of integral operators. It took many years for him to develop this method which is based primarily on the...

Since the 9/11 terrorist attacks in the United States, serious concerns were raised on domestic and international security issues. Consequently, there has been considerable interest recently in technological strategies and resources to counter acts of...

Wichtige in der Quantenmechanik auftretende Begriffe mathematisch präzise und ausführlich zu erklären und anzuwenden - das ist das Ziel des vorliegenden Buches. Die Axiome der Quantenmechanik können in wenigen Zeilen formuliert werden, stecken aber...

Die traditionelle Darstellung des Zwillingsparadoxons.- Minkowskis Linienelement - Die Lorentz-Transformation.- Umkehrproblem und Gravitation.

Using simple physical examples, this work by Erhard Scheibe presents an important and powerful approach to the reduction of physical theories. Novel to the approach is that it is not based, as usual, on a single reduction concept that is fixed once and...

Das vorliegende Buch bietet eine leicht lesbare Einführung in Theorie und Praxis gewöhnlicher Differenzialgleichungen. Es richtet sich an Studierende der Natur- und Ingenieurwissenschaften, der Wirtschaftswissenschaften und allgemein aller Fachgebiete,...

Mathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the "divine proportion" used by Phidias and many other artists and...

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...

This comprehensive collection of lectures by leading experts in the field introduces and reviews all relevant computer simulation methods and their applications in condensed matter systems. Volume 1 is an in-depth introduction to a vast spectrum of...

This book is on quantal density functional theory (QDFT) which is a time-dependent local effective potential theory of the electronic structure of matter.  The time-independent QDFT constitutes a special case.  The 2nd edition describes the...

This book presents Markov and quantum processes as two sides of a coin called generated stochastic processes. It deals with quantum processes as  reversible stochastic processes generated by one-step unitary operators, while Markov processes are...

Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and...

This book presents the fundamental concepts of electromagnetism through problems with a brief theoretical introduction at the beginning of each chapter. The present book has a strong didactic character. It explains all the mathematical steps and the...

This book contains the elaborated and updated versions of the 24 lectures given at the 43rd Saas-Fee Advanced Course. Written by four eminent scientists in the field, the book reviews the physical processes related to star formation, starting from...

This collection of essays is above all intended to pay tribute to the fact that while QM today is a refined and incredibly successful instrument, many issues concerning the internal consistency and the interpretation of this theory are still not nearly...

This book reveals the underlying mechanisms of complexity and stochastic evolutions of traffic flows. Using Eulerian and Lagrangian measurements, the authors propose lognormal headway/spacing/velocity distributions and...

Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches...

The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to be investigated through the greatest variety of...

This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs...

Die vorliegende Briefsammlungenthalt BriefevonundanWolfgangPauliwahrend der Zeitspanne 1919 bis 1929. Viele Autoren haben diese Zeit mit Recht als die "goldene Periode der Physik"betrachtet. Bis zu dieser Zeithatten die...

Das Verständnis der numerischen Behandlung elliptischer Differentialgleichungen erfordert notwendigerweise auch die Kenntnisse der Theorie der Differentialgleichungen. Deshalb behandelt das Buch beide parallel. Zunächst wird der klassische Zugang (starke...

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,...