IAA authors:
Aldaya, V.; Lopez-Ruiz, F. F.
Authors:
Aldaya, V.; Calixto, M.; Guerrero, J.; Lopez-Ruiz, F. F.
Journal:
REPORTS ON MATHEMATICAL PHYSICS
Abstract:
We present the quantum mechanics of 'partial-trace' nonlinear 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.
Keywords:
group quantization; particle sigma models; Lie group representations