By Maurice A. de Gosson
This e-book offers a accomplished mathematical research of the operators in the back of the Born–Jordan quantization scheme. The Schrödinger and Heisenberg photographs of quantum mechanics are identical provided that the Born–Jordan scheme is used. hence, Born–Jordan quantization presents the single bodily constant quantization scheme, rather than the Weyl quantization ordinary via physicists. during this ebook we increase Born–Jordan quantization from an operator-theoretical standpoint, and research extensive the conceptual variations among the 2 schemes. We talk about a variety of bodily inspired ways, particularly the Feynman-integral standpoint. One vital and fascinating function of Born-Jordan quantization is that it's not 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