Deformed quantum mechanics and q-Hermitian operators
Mathematical Physics
2009-11-13 v1 Statistical Mechanics
math.MP
Nuclear Theory
Quantum Physics
Abstract
Starting on the basis of the non-commutative q-differential calculus, we introduce a generalized q-deformed Schr\"odinger equation. It can be viewed as the quantum stochastic counterpart of a generalized classical kinetic equation, which reproduces at the equilibrium the well-known q-deformed exponential stationary distribution. In this framework, q-deformed adjoint of an operator and q-hermitian operator properties occur in a natural way in order to satisfy the basic quantum mechanics assumptions.
Cite
@article{arxiv.0808.1976,
title = {Deformed quantum mechanics and q-Hermitian operators},
author = {A. Lavagno},
journal= {arXiv preprint arXiv:0808.1976},
year = {2009}
}
Comments
10 pages