Time Quantization and q-Deformations
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0308190,
title = {Time Quantization and q-Deformations},
author = {Claudio Albanese and Stephan Lawi},
journal= {arXiv preprint arXiv:hep-th/0308190},
year = {2008}
}
Comments
4 pages, 2 figures