arXiv:1502.04998 · Foundations of Physics

The Angular Momentum Dilemma and Born–Jordan Quantization

Maurice A. de Gosson

Published Oct 7, 2016• 4 citations

Abstract

The rigorous equivalence of the Schrödinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. We confirm this by showing that the much discussed " angular momentum dilemma" disappears if one uses Born-Jordan quantization. We argue that the latter is the only physically correct quantization procedure. We also briefly discuss a possible redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new quasi-distribution associated with Born-Jordan quantization, and which has proven to be successful in time-frequency analysis.

DOI: 10.1007/s10701-016-0041-8

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