National Science Library of Georgia

Image from Google Jackets

Variational principles and methods in theoretical physics and chemistry / Robert K. Nesbet.

By: Material type: TextTextPublisher: Cambridge : Cambridge University Press, 2003Description: 1 online resource (xiv, 229 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511535161 (ebook)
Other title:
  • Variational Principles & Methods in Theoretical Physics & Chemistry
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 530.15/564 21
LOC classification:
  • QC20.7.C3 N48 2003
Online resources:
Contents:
I. Classical mathematics and physics -- 1. History of variational theory -- 2. Classical mechanics -- 3. Applied mathematics -- II. Bound states in quantum mechanics -- 4. Time-independent quantum mechanics -- 5. Independent-electron models -- 6. Time-dependent theory and linear response -- III. Continuum states and scattering theory -- 7. Multiple scattering theory for molecules and solids -- 8. Variational methods for continuum states -- 9. Electron-impact rovibrational excitation of molecules -- IV. Field theories -- 10. Relativistic Lagrangian theories.
Summary: This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

I. Classical mathematics and physics -- 1. History of variational theory -- 2. Classical mechanics -- 3. Applied mathematics -- II. Bound states in quantum mechanics -- 4. Time-independent quantum mechanics -- 5. Independent-electron models -- 6. Time-dependent theory and linear response -- III. Continuum states and scattering theory -- 7. Multiple scattering theory for molecules and solids -- 8. Variational methods for continuum states -- 9. Electron-impact rovibrational excitation of molecules -- IV. Field theories -- 10. Relativistic Lagrangian theories.

This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.

There are no comments on this title.

to post a comment.
Copyright © 2023 Sciencelib.ge All rights reserved.