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arXiv · 1106.4638

Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons

Fabio Bagarello
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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.

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Fabio Bagarello. 2011-06-23. Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons. https://doi.org/10.1007/s11232-012-0048-z

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