GEOMETRY-INDUCED YANG-MILLS FIELDS IN CONSTRAINED QUANTUM-MECHANICS

Citation
P. Maraner et C. Destri, GEOMETRY-INDUCED YANG-MILLS FIELDS IN CONSTRAINED QUANTUM-MECHANICS, Modern physics letters A, 8(9), 1993, pp. 861-868
Citations number
NO
Categorie Soggetti
Physics
Journal title
ISSN journal
02177323
Volume
8
Issue
9
Year of publication
1993
Pages
861 - 868
Database
ISI
SICI code
0217-7323(1993)8:9<861:GYFICQ>2.0.ZU;2-Z
Abstract
We derive the effective Hamiltonian for a quantomechanical system cons trained to move on a submanifold M of its configuration space R(n) by a confining potential V. Besides potential terms proportional to the i ntrinsic and mean curvature of M the restriction to the constraint pro duce the minimal interaction with a geometry-induced Yang-Mills field.