By Maurice A. de Gosson
This e-book offers a accomplished mathematical learn of the operators at the back of the Born–Jordan quantization scheme. The Schrödinger and Heisenberg photos of quantum mechanics are identical provided that the Born–Jordan scheme is used. therefore, Born–Jordan quantization presents the one bodily constant quantization scheme, rather than the Weyl quantization accepted by means of physicists. during this publication we strengthen Born–Jordan quantization from an operator-theoretical viewpoint, and study extensive the conceptual adjustments among the 2 schemes. We talk about numerous bodily prompted techniques, specifically the Feynman-integral viewpoint. One very important and fascinating 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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Born-Jordan Quantization: Theory and Applications (Fundamental Theories of Physics) by Maurice A. de Gosson