By Maurice A. de Gosson
This booklet offers a entire mathematical learn of the operators in the back of the Born–Jordan quantization scheme. The Schrödinger and Heisenberg photographs of quantum mechanics are an identical provided that the Born–Jordan scheme is used. hence, Born–Jordan quantization presents the one bodily constant quantization scheme, instead of the Weyl quantization universal by means of physicists. during this ebook we strengthen Born–Jordan quantization from an operator-theoretical perspective, and research intensive the conceptual transformations among the 2 schemes. We talk about numerous bodily inspired methods, particularly the Feynman-integral standpoint. One vital and exciting characteristic of Born-Jordan quantization is that it isn't one-to-one: there are infinitely many classical observables whose quantization is zero.
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