We derive the effective Hamiltonian for a quantomechanical system constrained to move on a submanifold M of its configuration space Rn by a confining potential V. Besides potential terms proportional to the intrinsic and mean curvature of M the restriction to the constraint produce the minimal interaction with a geometry-induced Yang-Mills field.
Maraner, P., Destri, C. (1993). GEOMETRY-INDUCED YANG-MILLS FIELDS IN CONSTRAINED QUANTUM MECHANICS. MODERN PHYSICS LETTERS A, 8(9), 861 [10.1142/S0217732393000891].
GEOMETRY-INDUCED YANG-MILLS FIELDS IN CONSTRAINED QUANTUM MECHANICS
DESTRI, CLAUDIO
1993
Abstract
We derive the effective Hamiltonian for a quantomechanical system constrained to move on a submanifold M of its configuration space Rn by a confining potential V. Besides potential terms proportional to the intrinsic and mean curvature of M the restriction to the constraint produce the minimal interaction with a geometry-induced Yang-Mills field.
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