Group-quantization of non-linear sigma models:particle on S2 revisited
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Knowledge AreaMatemática Aplicada
SponsorsWork partially supported by the Spanish MCYT, Junta de Andalucía and Fundación Séneca under projects FIS2005-05736-C03-01, P06-FQM-01951 and 03100/PI/05. F. F. López Ruiz would like to thank the C.S.I.C. for an I3P grant.
KeywordsGrupo de cuantización
Curvatura de la esfera
We present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.
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