ENGLISH

Born-Jordan Quantization: Theory and Applications

By Maurice A. de Gosson

Book information

Publisher
Springer
Year
2016
ISBN
3319279009, 9783319279008
DOI
10.1007/978-3-319-27902-2
Language
english
Format
PDF
Filesize
3 MB (2909984 bytes)
Series
Fundamental Theories of Physics
Pages
226\226
Time added
2016-01-15 20:48:19
Quantum Physics; Operator Theory; Mathematical App

Description

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.

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