The Angular Momentum Dilemma and Born-Jordan Quantization.

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. © The Author(s) 2016.

Citation

Maurice A de Gosson. The Angular Momentum Dilemma and Born-Jordan Quantization. Foundations of physics. 2017;47(1):61-70

PMID: 32355362

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