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Born-Jordan Quantization : Theory and Applications PDF
by Maurice A. de Gosson
Part of the Fundamental Theories of Physics series
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This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrodinger 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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- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:11/01/2016
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- ISBN:9783319279022
Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:11/01/2016
- Category:
- ISBN:9783319279022