Born-Jordan Quantization: Theory and Applications

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Born-Jordan Quantization: Theory and Applications

Born-Jordan Quantization: Theory and Applications
Springer | Quantum Physics | February 12, 2016 | ISBN-10: 3319279009 | 226 pages | pdf | 2.8 mb

Authors: de Gosson, Maurice A.
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

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.

Quantum Physics
Operator Theory
Mathematical Applications in the Physical Sciences
History and Philosophical Foundations of Physics

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Tags: Jordan, Quantization, Theory, Applications

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