The Angular Momentum Dilemma and Born-Jordan Quantization

Abstract

We have shown in previous work that the rigorous equivalence of the Schrödinger 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.

Corrected and revised version

References in corpus (2)

• Unambiguous quantization from the maximum classical correspondence that is self-consistent: the slightly stronger canonical commutation rule Dirac missed
• On the concepts of radial and angular kinetic energies

Cited by in corpus (1)

• Phase Spaces, Parity Operators, and the Born-Jordan Distribution