Spin in Schrödinger-quantized pseudoclassical systems

Autor:	Theodore J. Allen
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Physics Quantum Physics Angular momentum Superselection Statistical and Nonlinear Physics symbols.namesake symbols Algebraic number Spin (physics) Realization (systems) Mathematical Physics Schrödinger's cat Mathematical physics
Zdroj:	Journal of Mathematical Physics. 62:102101
ISSN:	1089-7658 0022-2488
DOI:	10.1063/5.0058176
Popis:	We examine the construction of the spin angular momentum in systems with pseudoclassical Grassmann variables. In constrained systems there are many different algebraic forms for the dynamical variables that will all agree on the constraint surface. For the angular momentum, a particular form of the generators is preferred, which yields superselection sectors of irreducible spin^c(n) representations rather than reducible so(n) representations when quantized in the Schr\"odinger realization. Comment: 7 pages. Published version
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d149dfd2e493298284bc07d37962819 https://doi.org/10.1063/5.0058176 Zobrazit plný text záznamu