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Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
the quantum damped harmonic oscillator pseudo-bosons
2011/7/26
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...
Abstract: In a series of recent papers the author has introduced the notion of (regular) pseudo-bosons showing, in particular, that two number-like operators, whose spectra are ${\Bbb N}_0:={\Bbb N}\c...
Abstract: In the past years several extensions of the canonical commutation relations have been proposed by different people in different contexts and some interesting physics and mathematics have bee...
We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and a...