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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Time dependent quantum generators for the Galilei group

arXiv

Authors: Gianluigi Filippelli

Year

2014

Paper ID

46323

Status

Preprint

Abstract Read

~2 min

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Abstract

In 1995 Doebner and Mann introduced an approach to the ray representations of the Galilei group in (1+1)-dimensions, giving rise to quantum generators with an explicit dependence on time. Recently (2004) Wawrzycki proposed a generalization of Bargmann's theory: in his paper he introduce phase exponents that are explicitely dependent by 4-space point. In order to find applications of such generalization, we extend the approach of Doebner and Mann to higher dimensions: as a result, we determine the generators of the ray representation in (2+1) and (3+1) dimensions. The differences of the outcoming formal apparatus with respect to the smaller dimension case are established.

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In 1995 Doebner and Mann introduced an approach to the ray representations of the Galilei group in (1+1)-dimensions, giving rise to quantum generators with an explicit...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.6048 [2] arXiv https://arxiv.org/abs/1411.6048 [3] Publisher https://arxiv.org/abs/1411.6048

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