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Fundamentals of Quantum Mechanics

Fundamentals of Quantum Mechanics


  • Author: Ajit Kumar, Indian Institute of Technology, Delhi
  • Date Published: May 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781107185586

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About the Authors
  • This book is a comprehensive text in the field of quantum mechanics, covering fundamental concepts including the state of a quantum mechanical system, operators, superposition principle and measurement postulate. The notion of an operator and the algebra of operators are introduced with the help of elementary concepts of mathematical analysis. Mathematical tools developed will help readers in understanding the difficulties encountered in classical physics while trying to explain the experimental results involving atomic spectra and other phenomena. The differential equations that arise while solving eigenvalue problems are solved rigorously, to make the text self-sufficient. The solutions are then physically interpreted and explained. The text offers solved examples, analogous and homework problems to help students in solving practical problems of physics requiring quantum mechanical treatment.

    • Covers mathematical tools that will help readers in the understanding of experimental results
    • Comprehensively discusses topics including symmetry of the Hamiltonian, infinitesimal translations in time and space, Kramer's theorem and Kramer's degeneracy
    • Step by step derivation of mathematical theorems including Ehrenfest's theorem and Bloch theorem
    • Includes detailed discussion on simple magnetic field effects and quantum mechanics of many particle systems
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    Product details

    • Date Published: May 2018
    • format: Hardback
    • isbn: 9781107185586
    • length: 442 pages
    • dimensions: 246 x 190 x 23 mm
    • weight: 0.83kg
    • availability: In stock
  • Table of Contents

    1. Introduction
    2. The postulates of quantum mechanics
    3. One-dimensional problems
    4. Algebraic formulation for quantum mechanics
    5. Quantum mechanics in three spatial dimensions
    6. Quantum mechanical theory of orbital angular momentum
    7. Simple magnetic field effects
    8. Quantum mechanical theory of spin angular momentum
    9. Addition of angular momenta
    10. Quantum mechanics of many particle systems
    11. Symmetry and conservation laws
    12. Relativistic generalization

  • Author

    Ajit Kumar, Indian Institute of Technology, Delhi
    Ajit Kumar is Professor, Department of Physics, Indian Institute of Technology, New Delhi. He did his integrated M.Sc. (5 year) in theoretical and mathematical physics and Ph.D. in field theory from Moscow in 1977 and 1980, respectively. He was then a post doctoral Fellow at the Joint Institute for Nuclear Research, Dubna, Moscow. His current research is related to the problems of nonlinear optics, solution of non-linear Schrodinger equation in nonlinear optical media, fiber-optic solitons and their switching dynamics and electromagnetic wave propagation in metamaterials. He has been teaching the basic subjects of theoretical physics including classical mechanics, quantum mechanics, electrodynamics, quantum field theory, group theory and applications, and general theory of relativity for the last 28 years. He has carried out collaborative research work at various universities and research institutes in Europe such as Heinrich Heine University (Institute of Theoretical Physics 1), Dusseldorf, Germany, British Telecom Research Laboratories, Ipswich; Technical University of Darmstadt, Germany; Georg-August University (3rd Physical Institute), Gottingen, Germany, Bourgogne University, Dijon, France, Max Planck Institute for Quantum Optics, Garching, Munich, Germany and Max Planck Institute for the Science of Light, Erlangen, Germany.

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