Structure, Time Propagation and Dissipative Terms for Resonances

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dc.creatorJentschura, U. D.
dc.creatorSurzhykov, A.
dc.creatorLubasch, M.
dc.creatorZinn-Justin, J.
dc.date2007-11-07
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:21:39Z
dc.date.available2026-07-07T09:21:39Z
dc.descriptionFor odd anharmonic oscillators, it is well known that complex scaling can be used to determine resonance energy eigenvalues and the corresponding eigenvectors in complex rotated space. We briefly review and discuss various methods for the numerical determination of such eigenvalues, and also discuss the connection to the case of purely imaginary coupling, which is PT-symmetric. Moreover, we show that a suitable generalization of the complex scaling method leads to an algorithm for the time propagation of wave packets in potentials which give rise to unstable resonances. This leads to a certain unification of the structure and the dynamics. Our time propagation results agree with known quantum dynamics solvers and allow for a natural incorporation of structural perturbations (e.g., due to dissipative processes) into the quantum dynamics.
dc.description14 pages; LaTeX; minor changes
dc.identifierhttps://arxiv.org/abs/0711.1073
dc.identifierhttp://arxiv.org/abs/0711.1073
dc.identifierJ.Phys.A 41 (2008) 095302
dc.identifierdoi:10.1088/1751-8113/41/9/095302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155099
dc.subjectMathematical Physics
dc.titleStructure, Time Propagation and Dissipative Terms for Resonances
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