Time Quantization and q-Deformations

Details Time Quantization and q-Deformations Time Quantization and q-Deformations

2003-08-28

arxiv.org/abs/hep-th/0308190v1

J.Phys.A37:2983-2987,2004

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures

Scientific paper

10.1088/0305-4470/37/8/009

We extend to quantum mechanics the technique of stochastic subordination, by
means of which one can express any semi-martingale as a time-changed Brownian
motion. As examples, we considered two versions of the q-deformed Harmonic
oscillator in both ordinary and imaginary time and show how these various cases
can be understood as different patterns of time quantization rules.

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