What happens to spin during the SO(3)->SE(2) contraction? (On spin and extended structures in quantum mechanics)

1995/01/18 by Marek Czachor, M. Czachor, Czachor, M. +3
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9501017

6 pages, REVTeX

arxiv created 1995/01/18 · openalex publication_date 1995/01/18 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the spin operator can be described by an algebra which is in between so(3) and e(2). Relativistic version of the singlet state for two Dirac electrons is discussed. It is shown that a measure of massless particle's extension can be naturally constructed and that this measure corresponds at the classical level to the radius of the Robinson congruence.

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