Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics

This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts t...

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Tác giả chính:	Shizgal, Bernard
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Mathematical physics Mathematics Chemistry Spectral theory
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58253
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id	oai:scholar.dlu.edu.vn:DLU123456789-58253
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-582532023-11-11T06:03:22Z Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics Shizgal, Bernard Mathematical physics Mathematics Chemistry Spectral theory This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. 2015-09-14T09:16:12Z 2015-09-14T09:16:12Z 2015 Book 978-94-017-9454-1 978-94-017-9453-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58253 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Mathematical physics Mathematics Chemistry Spectral theory
spellingShingle	Mathematical physics Mathematics Chemistry Spectral theory Shizgal, Bernard Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
description	This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials.
format	Book
author	Shizgal, Bernard
author_facet	Shizgal, Bernard
author_sort	Shizgal, Bernard
title	Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
title_short	Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
title_full	Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
title_fullStr	Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
title_full_unstemmed	Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
title_sort	spectral methods in chemistry and physics: applications to kinetic theory and quantum mechanics
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58253
_version_	1782542056893186048

Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics

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