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Open Quantum Systems Decoherence Quantum Simulation

Geometric prequantization on the path space of a prequantized manifold

arXiv
Authors: Indranil Biswas, Saikat Chatterjee, Rukmini Dey

Year

2014

Paper ID

46344

Status

Preprint

Abstract Read

~2 min

Abstract Words

49

Citations

N/A

Abstract

Given a compact symplectic manifold M, with integral symplectic form, we prequantize a certain class of functions on the path space for M. The functions in question are induced by functions on M. We apply our construction to study the symplectic structure on the solution space of Klein-Gordon equation.

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  • Given a compact symplectic manifold M, with integral symplectic form, we prequantize a certain class of functions on the path space for M.

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