Improved Dirac quantization of a free particle

Details Improved Dirac quantization of a free particle Improved Dirac quantization of a free particle

1999-06-22

arxiv.org/abs/quant-ph/9906081v2

Mod.Phys.Lett. A15 (2000) 1915-1922

Physics

Quantum Physics

12 pages, revtex, no figures, minor corrections, title is changed

Scientific paper

10.1142/S0217732300002450

In the framework of Dirac quantization with second class constraints, a free particle moving on the surface of a $(d-1)-$dimensional sphere has an ambiguity in the energy spectrum due to the arbitrary shift of canonical momenta. We explicitly show that this spectrum obtained by the Dirac method can be consistent with the result of the Batalin-Fradkin-Tyutin formalism, which is an improved Dirac method, at the level of the first-class constraint by fixing the ambiguity, and discuss its physical consequences.

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