Time Quantization and q-Deformations

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.

4 pages, 2 figures

References in corpus (1)

• Introduction of a Quantum of Time ("chronon"), and its Consequences for Quantum Mechanics

Cited by in corpus (2)

• Shor's Algorithm Does Not Factor Large Integers in the Presence of Noise
• A Modular Operator Approach to Entanglement of Causally Closed Regions