Some Unusual Topics in Quantum Mechanics 2nd Edition by Pankaj Sharan ISBN 3031359623 9783031359620

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Product details:

ISBN 10: 3031359623

ISBN 13: 978-3031359620

Author:  Pankaj Sharan 

Some Unusual Topics in Quantum Mechanics 2nd Edition: This second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli’s proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell’s inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student’s interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject.

 

Some Unusual Topics in Quantum Mechanics 2nd Edition Table of contents:

1. 1. Position Operators of Non-relativistic Quantum Mechanics
2. 2. A Bundle Picture of Quantum Mechanics
3. 3. A Beam of Particles A Plane Wave?
4. 4. Star-Product Formulation of Quantum Mechanics
5. 5. Can There Be a Non-linear Quantum Mechanics?
6. 6. Interaction Exchange of Quanta
7. 7. Proof of Wigner’s Theorem
8. 8. Hilbert Space: An Introduction
9. 9. What Is an “Essentially Self-Adjoint” Operator?
10. 10. Is There a Time-Energy Uncertainty Relation?
11. 11. Fock Spaces
12. 12. Second Quantization
13. 13. Relativistic Configuration States and Quantum Fields
14. 14. Minimum Uncertainty States
15. 15. Path Integrals in General Coordinates
16. 16. A Brief Pre-history of Matrix Mechanics and O(4) Symmetry of the Hydrogen Atom
17. 17. Non-locality in Quantum Mechanics and Bell’s Inequality

 

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