ENGLISH

Some Unusual Topics in Quantum Mechanics

By Pankaj Sharan

Book information

Publisher
Springer Nature Switzerland
Year
2023
ISBN
9783031359613, 9783031359620
DOI
10.1007/978-3-031-35962-0
Language
english
Format
PDF
Filesize
6 MB (6612947 bytes)
Series
Lecture Notes in Physics 1020
Edition
2
Pages
314\326
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2023-09-23 19:00:57
Bundle with Hilbert space fiberFock spaceHistory of matrix mechanicsNon-linear quantum mechanicsPosition operatorsRelativistic configuration statesRigged Hilbert spacesSelf-Adjoint OperatorsTime re-parametrization in path integralTime-energy uncertainty relationsWigner's theorem

Description

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.

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