Kategoria BISAC: Science >> Physics - Mathematical & Computational

Starting from first principles, this reference treats the theoretical aspects of quantum optics. It develops a unified approach for determining the dynamics of a two-level and three-level atom in combinations of quantized field under certain conditions.

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrodinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.

This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

Der groe Vorzug des Goldhornschen Skripts liegt in seiner kompromilosen Konzentration aufs Wesentliche. Im einzelnen:

Die Auswahl des Stoffes deckt ein breites Spektrum mathematischer Konzepte und Methoden ab, die fur die heutige Physik relevant sind. Im Gegenzug wird das bei vielen Dozenten und Buchautoren so beliebte Herumreiten auf angeblich erhellenden Einzelheiten uberall dort vermieden, wo sie sich in der Praxis als nicht wirklich erhellend erwiesen haben. Gerade in dieser Hinsicht wurde das Skript im Laufe einer langjahrigen Lehrerfahrung immer weiter optimiert. Die...

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. The aim of this book is to give a systematic introduction to and overview of the relatively simple and popular linearization methods available. The scope is limited to models with continuous external and parametric excitations, yet these cover the majority of known approaches. The book contains an application chapter with emphasis on vibration analysis of stochastic mechanical structures as well as a chapter devoted to the assessment of the accuracy of the...

Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathematicians from the St. Petersburg Mathematical School. His remarkable results on exact estimates of solutions to boundary and initial-boundary value problems for linear elliptic, parabolic, Stokes and Navier-Stokes systems, his methods and contributions to the inverstigation of free boundary problems, in particular in fluid mechanics, are well known to specialists all over the world.

The International Conference on "Trends in Partial Differential Equations of Mathematical Physics" was held on the occasion of his...

Econophysics research studies, which apply methods developed by physicists to solve problems in economics, enable you to deepen your understanding of what financial systems are and how they operate. Articles in this book identify and explain the statistical behavior of the underlying networks in trading, banking, and stock markets as well as other financial systems. Authors also debate the latest issues arising from these econophysics studies.