Born-Jordan Quantization
| Autor: | Maurice A. de Gosson |
|---|---|
| EAN: | 9783319279022 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 11.01.2016 |
| Untertitel: | Theory and Applications |
| Kategorie: | |
| Schlagworte: | ?Born-?Jordan-?Wigner tran Grossmann-Royer operator Heisenberg-Weyl operator Phase-space representation of quantum mechanics Quantization schemes Shubin prescription Symmetry properties of quantum systems Theory of pseudodifferential operators |
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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.
Maurice de Gosson is a research professor at the Univer-sity of Vienna. He has held various visiting positions at prestigious Universities(Yale, Boulder, Tel Aviv).
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