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Born-jordan Quantization : Theory and Applications (Hardcover) (Maurice De Gosson)

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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.

Genre: Science, Mathematics
Sub-Genre: Quantum Theory, Applied, Functional Analysis
Series Title: Fundamental Theories of Physics
Format: Hardcover
Publisher: Springer Verlag
Author: Maurice De Gosson
Language: English
Street Date: January 29, 2016
TCIN: 50927329
UPC: 9783319279008
Item Number (DPCI): 248-12-7186
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