By Maurice A. de Gosson
This publication provides a accomplished mathematical learn of the operators at 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, in place of the Weyl quantization primary by way of physicists. during this booklet we boost Born–Jordan quantization from an operator-theoretical viewpoint, and learn extensive the conceptual modifications among the 2 schemes. We speak about a variety of bodily influenced methods, particularly 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