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Some Unusual Topics in Quantum Mechanics

  • Book
  • © 2020

Overview

Authors:
  1. Pankaj Sharan

    1. (emeritus), Department of Physics, Jamia Millia Islamia University, New Delhi, India

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  • Offers a fresh look at quantum mechanics
  • Addresses topics that are fundamental to a deeper understanding of quantum mechanics
  • Includes a chapter elucidating the proof of Wigner’s theorem

Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
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  2. Position Operators of Non-relativistic Quantum Mechanics

    • Pankaj Sharan
    Pages 1-16

  3. A Bundle Picture of Quantum Mechanics

    • Pankaj Sharan
    Pages 17-32

  4. A Beam of Particles \(=\) A Plane Wave?

    • Pankaj Sharan
    Pages 33-54

  5. Star-Product Formulation of Quantum Mechanics

    • Pankaj Sharan
    Pages 55-67

  6. Can There Be a Non-linear Quantum Mechanics?

    • Pankaj Sharan
    Pages 69-80

  7. Interaction \(=\) Exchange of Quanta

    • Pankaj Sharan
    Pages 81-89

  8. Proof of Wigner’s Theorem

    • Pankaj Sharan
    Pages 91-102

  9. Back Matter

    Pages 103-104
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Keywords

About this book

In this book, the author addresses selected topics in quantum mechanics that are not usually covered in books, but which are very helpful in developing a student's interest in, and a deeper understanding of the subject. The topics include two different ways of looking at quantum mechanics; three clarifying topics that students often find confusing; one classic theorem never proved in the classroom; and a discussion on whether there can be a non-linear quantum mechanics. The book can be used as supporting material for graduate-level core courses on quantum mechanics.

Reviews

“The author takes care to introduce the new concepts in a gradual manner to make it accessible to a reader accustomed only with the standard perspective. This makes the book very suitable for self-study. … A good list of references is provided for further exploration of each topic. This is a book which will greatly benefit a serious curious student of the subject. It deserves to be in any good library and also in the bookshelves of experts.” (Amitava Raychaudhuri, zbMATH 1483.81002, 2022)

Authors and Affiliations

  • (emeritus), Department of Physics, Jamia Millia Islamia University, New Delhi, India

    Pankaj Sharan

About the author

Pankaj Sharan is a professor retired from the Department of Physics at Jamia Millia Islamia, New Delhi. His research interests are chiefly in quantum mechanics, quantum field theory and general relativity. Over a teaching career spanning four decades, he has taught courses on quantum mechanics, quantum field theory, classical mechanics, general relativity and mathematical physics. He is the author of the book Spacetime, Geometry and Gravitation.

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