Overview
- Demonstrates the superiority of the Born-Jordan scheme as the only consistent approach to quantization
- Written by a highly respected expert in quantum theory
- Provides in depth analysis of both mathematical and conceptual aspects
- Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 182)
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Table of contents (14 chapters)
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Front Matter
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Born–Jordan Quantization: Physical Motivation
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Front Matter
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Mathematical Aspects of Born–Jordan Quantization
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Front Matter
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Some Advanced Topics
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Front Matter
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Back Matter
Keywords
About this book
This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born–Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.
Reviews
“In this book, the Born-Jordan and Weyl quantizations are confronted and discussed into details. … The book is well written and in great part self-contained, it is intended as an introduction to Born-Jordan quantization both for physicists and mathematicians. The subject is analyzed both from the physical and the mathematical point of view.” (Giovanni Rastelli, zbMATH 1338.81014, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Born-Jordan Quantization
Book Subtitle: Theory and Applications
Authors: Maurice A. de Gosson
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-3-319-27902-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-27900-8Published: 29 January 2016
Softcover ISBN: 978-3-319-80236-7Published: 30 March 2018
eBook ISBN: 978-3-319-27902-2Published: 11 January 2016
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XIII, 226
Topics: Quantum Physics, Operator Theory, Mathematical Applications in the Physical Sciences, History and Philosophical Foundations of Physics