Scattering Theory for Transport Phenomena (Mathematical Physics Studies) - Image 1

£91.10

Springer Scattering Theory for Transport Phenomena (Mathematical Physics Studies)

Name: Scattering Theory for Transport Phenomena (Mathematical Physics Studies)
Brand: Springer
Price: 91.09 GBP
Availability: InStock

Functional Analysis

Price History & Forecast

Last 85 days • 85 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 85 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £91 (55 days, 64.7%)

Price range: £90 - £91

Price levels: 2 different prices over 85 days

Description

The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is divided into 7 chapters, the first of which deals with preliminaries of the theory of semigroups and C*-algebra, different types of semigroups, Schatten–von Neuman classes of operators, and facts about ultraweak operator topology, with examples using wavelet theory. Chapter 2 goes into abstract scattering theory in a general Banach space. The wave and scattering operators and their basic properties are defined. Some abstract methods such as smooth perturbation and the limiting absorption principle are also presented. Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation. In their seminal book, Lax and Phillips introduced the incoming and outgoing subspaces, which verify their representation theorem for a dissipative hyperbolic system initially and also matches for the transport problem. By means of these subspaces, the Lax and Phillips semigroup is defined and it is proved that this semigroup is eventually compact, hence hyperbolic. Balanced equations give rise to two transport equations, one of which can satisfy an advection equation and one of which will be nonautonomous. For generating, the Howland semigroup and Howland’s formalism must be used, as shown in Chapter 5. Chapter 6 is the highlight of the book, in which it is explained how the scattering operator for the transport problem by using the albedo operator can lead to recovery of the functionality of computerized tomography in medical science. The final chapter introduces the Wigner function, which connects the Schrödinger equation to statistical physics and the Husimi distribution function. Here, the relationship between the Wigner function and the quantum dynamical semigroup (QDS) can be seen.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 9811623724
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 28 June 2021
Listed Since: 01 April 2021

Barcode

No barcode data available

Springer Scattering Theory for Transport Phenomena (Mathematical Physics Studies)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Scattering Theory for Transport Phenomena (Mathematical Physics Studies)

Scattering Theory for Automorphic Functions. (AM-87) (Annals of Mathematics Studies)

Unstable Systems (Mathematical Physics Studies)

Mathematical Scattering Theory: Analytic Theory (Mathematical Surveys and Monographs): 158

Scattering of Waves: Theory and Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics: 93 (London Mathematical Society Student Texts)

Springer - Scattering Theory of Waves and Particles Book

New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics

Direct and Inverse Scattering on the Line (Mathematical Surveys and Monographs): 28

Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys & Monographs)

Elsevier Stochastic Transport in Complex Systems - Physics Book

Spectral and Scattering Theory

Mathematical Scattering Theory: 9 (Operator Theory: Advances and Applications, 9)

Schrödinger Equations in Nonlinear Systems

Schrödinger Equations in Nonlinear Systems

Resonant Scattering and Generation of Waves: Cubically Polarizable Layers (Mathematical Engineering)

Dynamics of Dissipation: 597 (Lecture Notes in Physics, 597)

Symplectic Geometry and Quantum Mechanics: 166 (Operator Theory: Advances and Applications)

Quantum Groups and Related Topics: Proceedings of the First Max Born Symposium: v. 13 (Mathematical Physics Studies)

Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2 (International Mathematical Series, 2)

Transport Phenomena: Equations and Numerical Solutions

Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann: 58 (Princeton Series in Physics)

NONEQUILIBRIUM QUANTUM TRANSPORT PHYSICS IN NANOSYSTEMS: FOUNDATION OF COMPUTATIONAL NONEQUILIBRIUM PHYSICS IN NANOSCIENCE AND NANOTECHNOLOGY

Nonlinear Analysis, Differential Equations, and Applications: 173 (Springer Optimization and Its Applications, 173)