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American Institute of Physics, Journal of Mathematical Physics, 5(35), p. 2259

DOI: 10.1063/1.530550

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Symplectic Manifolds, Coherent States and Semiclassical Approximation

Journal article published in 1993 by S. G. Rajeev, Sen Siddhartha, S. Kalyana Rama, S. Kalyana Rama
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We describe the symplectic structure and Hamiltonian dynamics for a class of Grassmannian manifolds. Using the two dimensional sphere ($S^2$) and disc ($D^2$) as illustrative cases, we write their path integral representations using coherent state techniques. These path integrals can be evaluated exactly by semiclassical methods, thus providing examples of localisation formula. Along the way, we also give a local coordinate description for a class of Grassmannians. ; Comment: 17 pages, preprint TCD-4-93, UR-1324,ER40685-774