Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
Mathematical Physics
2015-05-28 v1 math.MP
Abstract
It is known that a self-adjoint, time-independent hamiltonian can be defined for the quantum damped harmonic oscillator. We show here that the two vacua naturally associated to this operator, when expressed in terms of pseudo-bosonic lowering and raising operators, appear to be non square-integrable. This fact is interpreted as the evidence of the dissipation effect of the classical oscillator at a purely quantum level.
Keywords
Cite
@article{arxiv.1106.4638,
title = {Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:1106.4638},
year = {2015}
}
Comments
In press in "Theoretical and Mathematical Physics"