Berry Connections and Induced Gauge Fields in Quantum Mechanics on Sphere

Abstract

Quantum mechanics on sphere $S^n$ is studied from the viewpoint that the Berry's connection has to appear as a topological term in the effective action. Furthermore we show that this term is the Chern-Simons term of gauge variables that correspond to the extra degrees of freedom of the enlarged space.

12 pages, LaTeX2e

References in corpus (3)

• Quantum Mechanically Induced Hopf Term in the O(3) Nonlinear Sigma Model
• Quantum Mechanics on S^n and Meron Solution
• Hopf Map and Quantization on Sphere

Cited by in corpus (1)

• Path Integrals on Riemannian Manifolds with Symmetry and Induced Gauge Structure