1999/06/30 by Soon-Tae Hong, SOON-TAE HONG, Won Tae Kim +3 · 1 citation
Mathematics · Physics and Astronomy · #Ambiguity #Canonical quantization #Constraint (computer-aided design) #Dirac (video compression format) #Dirac comb #Dirac equation #Energy spectrum #Free particle #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #hep-th #quant-ph
paper · pdf · doi:10.1142/s0217732300002450
published as Mod.Phys.Lett. A15 (2000) 1915-1922 · 12 pages, revtex, no figures, minor corrections, title is changed
openalex publication_date 2000/10/10 · arxiv created 2000/11/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 is 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.