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Quantum Simulation Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

Quantization in singular real polarizations: Kähler regularization, Maslov correction and pairings

arXiv
Authors: João N. Esteves, José M. Mourão, João P. Nunes

Year

2014

Paper ID

45612

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We study the Maslov correction to semiclassical states by using a Kähler regularized BKS pairing map from the energy representation to the Schrödinger representation. For general semiclassical states, the existence of this regularization is based on recently found families of Kähler polarizations degenerating to singular real polarizations and corresponding to special geodesic rays in the space of Kähler metrics. In the case of the one-dimensional harmonic oscillator, we show that the correct phases associated with caustic points of the projection of the Lagrangian curves to the configuration space are correctly reproduced.

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  • We study the Maslov correction to semiclassical states by using a Kähler regularized BKS pairing map from the energy representation to the Schrödinger representation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1501.00112 [2] arXiv https://arxiv.org/abs/1501.00112 [3] Publisher https://arxiv.org/abs/1501.00112

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