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Open Quantum Systems Decoherence Quantum Simulation

Resurgent Deformation Quantisation

arXiv

Authors: Mauricio Garay, Axel de Goursac, Duco van Straten

Year

2013

Paper ID

32945

Status

Preprint

Abstract Read

~2 min

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Abstract

We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurgent operators with algebraic singularities. This algebra would be large enough to capture quantum effects that escape ordinary formal deformation quantisation.

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We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.0437 [2] arXiv https://arxiv.org/abs/1309.0437 [3] Publisher https://arxiv.org/abs/1309.0437

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