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

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

2011-06-23

arxiv.org/abs/1106.4638v1

Physics

Mathematical Physics

In press in "Theoretical and Mathematical Physics"

Scientific paper

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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