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  3. Variational Principles and Methods in Theoretical Physics and Chemistry
  • Cited by 13
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2002
Online ISBN:
9780511535161
DOI:
https://doi.org/10.1017/CBO9780511535161
Subjects:
Physics and Astronomy, Theoretical Physics and Mathematical Physics, Atomic Physics, Molecular Physics and Chemical Physics
Information

Book description

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.

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