Quantum Theory of Anharmonic Effects in Molecules

1st Edition

Authors: Konstantin Kazakov
Hardcover ISBN: 9780123979124
eBook ISBN: 9780123979391
Imprint: Elsevier
Published Date: 9th July 2012
Page Count: 232
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Presented in a clear and straightforward analysis, this book explores quantum mechanics and the application of quantum mechanics to interpret spectral phenomena. Specifically, the book discusses the relation between spectral features in mid or rear infrared regions, or in Raman scattering spectrum, and interactions between molecules or molecular species such as molecular ions, and their respective motions in gaseous or crystalline conditions. Beginning with an overview of conventional methods and problems which arise in molecular spectroscopy, the second half of the book suggests original techniques to investigate the area. The treatment is based on rigorous quantum-mechanical theories and procedures that are readily implemented in either manual methods or with symbolic computational software.

Key Features

  • Offers a novel approach in its application to physical phenomena
  • Concise and clear discussions of quantum-mechanical theories and spectrum analysis
  • Provides both theories and applications


Theoretical and experimental physicists as well as chemists and other practitioners of quantitative molecular spectrometry.

Table of Contents


1. The Laws of Quantum Mechanics


The Principal Equations

Spin and Magnetic Moment

Semiclassical Theory of Radiation

Second Quantization


Questions of Symmetry

2. The Evolution of Perturbation Theory


Perturbation Algebra

Methods of Quantum-Field Theory

Other Trends and Methods

3. Polynomials of Quantum Numbers

The Principles of the Theory

Advantages of the New Technique

Electro-Optics of Molecules

Extraneous Quantum Numbers

Future Developments

4. Effects of Anharmonicity

Extension to Magnetic Phenomena

An Electron in a Magnetic Field

The Resonance Interaction

Diatomic Dimers

5. The Method of Factorization

Algebraic Formalism

Some Problems Involving Anharmonicity



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© Elsevier 2012
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About the Author

Konstantin Kazakov

Konstantin V. Kazakov obtained a Dr. Sc. in Physics and Mathematics at the St. Petersburg State University.He published papers in internationally scientific journals, communications at scientific symposia and congresses, and 3 books. His previous book was published with Elsevier: “Quantum theory of anharmonic effects in molecules”, Elsevier, 2012.