Quantum damped oscillator I: dissipation and resonances

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dc.contributor.author Chruściński, Dariusz
dc.contributor.author Jurkowski, Jacek
dc.date.accessioned 2012-11-30T08:46:18Z
dc.date.available 2012-11-30T08:46:18Z
dc.date.issued 2005-06-01
dc.identifier.citation Ann. Phys. 321 (2006) 854-874
dc.identifier.other doi:10.1016/j.aop.2005.11.004
dc.identifier.uri http://repozytorium.umk.pl/handle/item/204
dc.description.abstract Quantization of a damped harmonic oscillator leads to so called Bateman's dual system. The corresponding Bateman's Hamiltonian, being a self-adjoint operator, displays the discrete family of complex eigenvalues. We show that they correspond to the poles of energy eigenvectors and the corresponding resolvent operator when continued to the complex energy plane. Therefore, the corresponding generalized eigenvectors may be interpreted as resonant states which are responsible for the irreversible quantum dynamics of a damped harmonic oscillator.
dc.language.iso eng
dc.relation.uri http://arxiv.org/abs/quant-ph/0506007
dc.rights info:eu-repo/semantics/openAccess
dc.subject Quantum Physics
dc.title Quantum damped oscillator I: dissipation and resonances
dc.type info:eu-repo/semantics/article

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