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      Algebraic Methods in Quantum Chemistry and Physics
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      Book

      Algebraic Methods in Quantum Chemistry and Physics

      DOI link for Algebraic Methods in Quantum Chemistry and Physics

      Algebraic Methods in Quantum Chemistry and Physics book

      Algebraic Methods in Quantum Chemistry and Physics

      DOI link for Algebraic Methods in Quantum Chemistry and Physics

      Algebraic Methods in Quantum Chemistry and Physics book

      ByFrancisco M. Fernández, Eduardo A. Castro
      Edition 1st Edition
      First Published 1996
      eBook Published 31 March 2020
      Pub. Location Boca Raton
      Imprint CRC Press
      DOI https://doi.org/10.1201/9780367811426
      Pages 288
      eBook ISBN 9780367811426
      Subjects Mathematics & Statistics, Physical Sciences
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      Get Citation

      Fernández, F.M., & Castro, E.A. (1996). Algebraic Methods in Quantum Chemistry and Physics (1st ed.). CRC Press. https://doi.org/10.1201/9780367811426

      ABSTRACT

      Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator.
      The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations.

      Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.

      TABLE OF CONTENTS

      chapter chapter one|16 pages

      Elementary introduction to Lie algebras and operator methods

      chapter chapter two|20 pages

      Some practical applications of finite-dimensional Lie algebras

      chapter chapter three|16 pages

      The quantum-mechanical harmonic oscillator

      chapter chapter four|18 pages

      Matrix elements of exponential operators in the harmonic oscillator basis set

      chapter chapter five|29 pages

      Three-dimensional Lie algebras and some of their realizations in quantum mechanics

      chapter chapter six|27 pages

      Perturbation theory and variational method

      chapter chapter seven|25 pages

      Numerical integration of the time-independent Schrödinger equation

      chapter chapter eight|14 pages

      Equations of motion in quantum mechanics

      chapter chapter nine|29 pages

      Bilinear oscillators

      chapter chapter ten|23 pages

      Parametrization of the time-evolution operator

      chapter chapter eleven|21 pages

      Semiclassical expansions in statistical mechanics

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