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arXiv · 1502.04998

The Angular Momentum Dilemma and Born-Jordan Quantization

Maurice A. de Gosson
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Abstract

We have shown in previous work that the rigorous equivalence of the Schr\"odinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. It also turns out that the so-called Dahl-Springborg angular momentum dilemma disappears if one uses Born--Jordan quantization. These two facts strongly suggest that the latter is the only true quantization procedure, and this leads to a redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new distribution.

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Maurice A. de Gosson. 2015-02-17. The Angular Momentum Dilemma and Born-Jordan Quantization. https://doi.org/10.1007/s10701-016-0041-8

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