
The main objective of this paper is to show how to evaluate a path integral on a homogeneous Kähler manifold. A group theoretic formulation is given for the Hamiltonian of an element of a finite dimensional Lie algebra.
Lie algebra, 58D30, homogeneous Kähler manifold, Global differential geometry of Hermitian and Kählerian manifolds, coherent states, 53C55, Hamiltonian, 81R30, 81S40, Coherent states, Applications of manifolds of mappings to the sciences, path integral
Lie algebra, 58D30, homogeneous Kähler manifold, Global differential geometry of Hermitian and Kählerian manifolds, coherent states, 53C55, Hamiltonian, 81R30, 81S40, Coherent states, Applications of manifolds of mappings to the sciences, path integral
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