Deriglazov, A. A. Nonrelativistic spin: à la Berezin-Marinov quantization on a sphere. (English) Zbl 1202.81123 Mod. Phys. Lett. A 25, No. 32, 2769-2777 (2010). Summary: Reparametrization invariant dynamics on a sphere, being parametrized by angular momentum coordinates, represents an appropriate framework for semiclassical description of nonrelativistic spin. The space can be quantized according to Berezin-Marinov prescription, replacing the coordinates by Pauli matrices. Following the scheme, we present two semiclassical models for describing spin without the use of Grassmann variables. The first model implies Pauli equation upon the canonical quantization. The second model produces nonrelativistic limit of the Dirac equation implying correct value for the electron spin magnetic moment. Cited in 7 Documents MSC: 81S05 Commutation relations and statistics as related to quantum mechanics (general) 81R25 Spinor and twistor methods applied to problems in quantum theory Keywords:canonical quantization; nonrelativistic spin PDFBibTeX XMLCite \textit{A. A. Deriglazov}, Mod. Phys. Lett. A 25, No. 32, 2769--2777 (2010; Zbl 1202.81123) Full Text: DOI References: [1] Griffiths D. J., Introduction to Quantum Mechanics (2005) [2] DOI: 10.1016/S0550-3213(96)00691-8 · Zbl 0925.81063 · doi:10.1016/S0550-3213(96)00691-8 [3] DOI: 10.1142/S0217732399000754 · doi:10.1142/S0217732399000754 [4] DOI: 10.1007/BF01397099 · doi:10.1007/BF01397099 [5] DOI: 10.1103/PhysRevLett.2.435 · doi:10.1103/PhysRevLett.2.435 [6] Barut A. O., Electrodynamics and Classical Theory of Fields and Particles (1964) [7] DOI: 10.1103/PhysRevD.5.2939 · doi:10.1103/PhysRevD.5.2939 [8] DOI: 10.1016/0003-4916(74)90046-3 · doi:10.1016/0003-4916(74)90046-3 [9] DOI: 10.1142/S0217751X95000735 · Zbl 0985.81564 · doi:10.1142/S0217751X95000735 [10] DOI: 10.1016/S0370-2693(98)01408-7 · doi:10.1016/S0370-2693(98)01408-7 [11] Casalbuoni R., JHEP 0802 pp 094– [12] Bjorken J. D., Relativistic Quantum Fields (1965) · Zbl 0184.54201 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.