2002/01/21 by Ramandeep S. Johal, Johal, Ramandeep S.
Engineering · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0201090
10 pages, 1 eps figure
arxiv created 2002/01/21 · openalex publication_date 2002/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss correspondence between the predictions of quantum theories for rotation angle formulated in infinite and finite dimensional Hilbert spaces, taking as example, the calculation of matrix elements of phase-angular momentum commutator. A new derivation of the matrix elements is presented in infinite space, making use of a unitary transformation that maps from the state space of periodic functions to non-periodic functions, over which the spectrum of angular momentum operator is in general, fractional. The approach can be applied to finite dimensional Hilbert space also, for which identical matrix elements are obtained.