Quantum dissipation induced noncommutative geometry

Details Quantum dissipation induced noncommutative geometry Quantum dissipation induced noncommutative geometry

2003-01-03

arxiv.org/abs/quant-ph/0301005v1

Phys.Lett. A311 (2003) 97

Physics

Quantum Physics

12 pages, 2 figures

Scientific paper

10.1016/S0375-9601(03)00475-4

The quantum statistical dynamics of a position coordinate x coupled to a reservoir requires theoretically two copies of the position coordinate within the reduced density matrix description. One coordinate moves forward in time while the other coordinate moves backward in time. It is shown that quantum dissipation induces, in the plane of the forward and backward motions, a noncommutative geometry. The noncommutative geometric plane is a consequence of a quantum dissipation induced phase interference which is closely analogous to the Aharanov-Bohm effect.

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