Mathematical physics

This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions.

This book is a collection of papers presented at the conference "e;Forum Math-for-Industry 2014"e; for which the unifying theme was "e;Applications + Practical Conceptualization + Mathematics = fruitful Innovation"e; in October 2014.

Traditionally, Lie theory is a tool to build mathematical models for physical systems.

In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms.

This book provides a unified and complete theory for semiconductor lasers, covering topics ranging from the principles of classical and quantum mechanics to highly advanced levels for readers who need to analyze the complicated operating characteristics generated in the real application of semiconductor lasers.

This book is a pedagogical introduction to supergravity, a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein's general relativity.

In this book, density functional theory (DFT) is introduced within the overall context of quantum chemistry.

This thesis presents theoretical and numerical studies on phenomenological description of the quark-gluon plasma (QGP), a many-body system of elementary particles.

The author introduces the concept that superconductivity can establish a perfect formalism of electricity and magnetism.

In this thesis, novel Monte Carlo methods for precisely calculating the critical phenomena of the effectively frustrated quantum spin system are developed and applied to the critical phenomena of the spin-Peierls systems.

In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement.

The most important characteristic of the "e;world filled with nonlinearity"e; is the existence of scale interference: disparate space-time scales interfere with each other.

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.

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.

This thesis presents a general theory of nonequilibrium thermodynamics for information processing.

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 agent-based modeling the focus is very much on agent-based simulation, as simulation is a very important tool for agent-based modeling.

Econophysics is a newborn field of science bridging economics and physics.

In recent years, as part of the increasing "e;informationization"e; of industry and the economy, enterprises have been accumulating vast amounts of detailed data such as high-frequency transaction data in nancial markets and point-of-sale information onindividualitems in theretail sector.

Traditionally, Lie Theory is a tool to build mathematical models for physical systems.

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.

Schumann resonance has been studied for more than half a century.

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.

Das vorliegende Lehrbuch ist aus dem Begleitmaterial einer meiner Vorlesungen an der Georg-August-Universität Göttingen entstanden.

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.

This reference book describes the exact solutions of the following types of mathematical equations:* Algebraic and Transcendental Equations * Ordinary Differential Equations * Systems of Ordinary Differential Equations * First-Order Partial Differential Equations * Linear Equations and Problems of Mathematical Physics * Nonlinear Equations of Mathematical Physics * Systems of Partial Differential Equations * Integral Equations * Difference and Functional Equations * Ordinary Functional Differential Equations * Partial Functional Differential EquationsThe book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more.

Dieses Lehrbuch wendet sich an Studierende der Ingenieur- und Naturwissenschaften und stellt die gesamte Höhere Mathematik, wie sie üblicherweise im Grundstudium behandelt wird, in einem Band zusammen.

Über dieses Buch Das vorliegende Lehrbuch ist aus einem Skriptum entstanden, das zwei Vorlesungen samt zugehöriger Proseminare über Mathematische Grundlagen für das Physikstudium an der Universität Wien während mehrerer Semester begleitete.

Dieses Buch basiert auf theoretischen Vorlesungen des Autors an der Ruhr-Universität Bochum, dieStudentinnenundStudentendesDiplom-StudiengangsPhysikim6.

Dieses spezielle Lehrbuch in englischer Sprache verbindet Kombinatorik (Diskrete Mathematik) mit Statistischer Physik.

Studierende, die ein Physikstudium aufnehmen, brauchen zu Beginn vor allem eines: mathematische Grundkenntnisse.

This book is a collection of contributions presented at the 16th annual international symposium "e;Frontiers of Fundamental Physics"e; (FFP16), supported by Istanbul University.

This advanced undergraduate textbook presents a new approach to teaching mathematical methods for scientists and engineers.

Indizes bereiten Dir Angst und Schrecken?

The Self-Organizing Map (SOM) is one of the most frequently used architectures for unsupervised artificial neural networks.

rium states but on the development process following an external shock, Kerstin Press adopts a new methodological approach.

In recent years it has become increasingly clear that the dynamics of cities can be best captured by looking at them as complex systems governed by many degrees of freedom, interacting on different space and time scales in a non-linear fashion.

This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems.

This volume contains the proceedings of the OTAMP 2008 (Operator Theory, Analysis and Mathematical Physics) conference held at the Mathematical Research and Conference Center in Bedlewo near Poznan.

The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature.