Abstract:
It is known that a self-adjoint, time-independent Hamiltonian can be defined for the quantum damped harmonic oscillator. We show that the two vacuums naturally associated with this operator seem to be non-square-integrable when it is expressed in terms of pseudo-bosonic lowering and raising operators. This fact is interpreted as the evidence of a dissipation effect of the classical oscillator on a purely quantum level.
Fulltext:
PDF file (381 kB)