2011/01/31 by Dinesh Singh, Nader Mobed · 1 citation
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum of light #Angular momentum operator #Azimuthal quantum number #Noncommutative and Quantum Gravity Theories #Orbital angular momentum of light #Orbital motion #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Total angular momentum quantum number #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1088/0264-9381/28/10/105024
published in Classical and Quantum Gravity 28(10), 105024 (IOP Publishing) · 21 pages, 1 figure; references added; accepted for publication in Classical and Quantum Gravity
arxiv created 2011/04/01 · openalex publication_date 2011/04/26 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper claims that local space-time curvature can non-trivially contribute to the properties of orbital angular momentum in quantum mechanics. Of key importance is the demonstration that an extended orbital angular momentum operator due to gravitation can identify the existence of orbital states with half-integer projection quantum numbers "m" along the axis of quantization, while still preserving integer-valued orbital quantum numbers "l" for a simply connected topology. The consequences of this possibility are explored in depth, noting that the half-integer "m" states vanish as required when the locally curved space-time reduces to flat space-time, fully recovering all established properties of orbital angular momentum in this limit. In particular, it is shown that a minimum orbital number of "l = 2" is necessary for the gravitational interaction to appear within this context, in perfect correspondence with the spin-2 nature of linearized general relativity.