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Non-Relativistic Quantum Mechanics

Non-Relativistic Quantum Mechanics

$75.00 ( ) USD

  • Date Published: December 2017
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316870693

$ 75.00 USD ( )
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  • This book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrödinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrödinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.

    • Offers a new approach to learning quantum mechanics based on the history of quantum mechanics and its postulates
    • Covers advance topics such as the foundations of quantum mechanics, quantum information theory and nano-science in detail
    • Discusses density operator in general, and that of one- and two-level systems
    • One-dimensional potentials for which the Schrödinger equation is exactly solvable are identified and explained comprehensively
    • A general theory of one-dimensional partially and completely periodic potentials for the study of nano and bulk solids is developed
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    Product details

    • Date Published: December 2017
    • format: Adobe eBook Reader
    • isbn: 9781316870693
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. History of quantum mechanics
    2. Vectors and operators
    3. Finite dimensional spaces
    4. Function space
    5. Postulates of quantum mechanics
    6. Density operator
    7. Measurement postulate and paradoxes of quantum mechanics
    8. Position and momentum representations
    9. Schrödinger equation in one dimension
    10. One-dimensional piecewise constant potentials
    11. One-dimensional exactly solvable continuous potentials
    12. Partially and completely periodic potentials
    13. Harmonic oscillator
    14. Three-dimensional central potentials
    15. Symmetry in quantum mechanics
    16. Quantum theory of angular momentum
    17. Approximation methods
    18. Entanglement and local hidden variable theory
    Appendix A. Delta function
    Appendix B. Second-order ordinary differential equations
    Appendix C. Riccati equation
    Appendix D. Some mathematical formulas
    References
    Index.

  • Author

    Ravinder R. Puri, Indian Institute of Technology, Gandhinagar
    Ravinder R. Puri is a Visiting Professor in the Department of Physics at the Indian Institute of Technology, Gandhinagar. He is serving as a Distinguished Guest Professor at the Indian Institute of Technology, Bombay (November 2009–present) and earlier served as Visiting Professor at the University of Manchester Institute of Science and Technology (UMIST), UK (June–December 1997). He has published more than one hundred papers in journals and conferences of national and international repute. His areas of research interest include theoretical quantum optics, foundations of quantum mechanics and quantum information processing.

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