Dynamics of barrier penetration in thermal medium: exact result for inverted harmonic oscillator

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dc.creatorMatsumoto, Sh.
dc.creatorYoshimura, M.
dc.date2000-06-02
dc.date.accessioned2026-07-07T12:37:57Z
dc.date.available2026-07-07T12:37:57Z
dc.descriptionTime evolution of quantum tunneling is studied when the tunneling system is immersed in thermal medium. We analyze in detail the behavior of the system after integrating out the environment. Exact result for the inverted harmonic oscillator of the tunneling potential is derived and the barrier penetration factor is explicitly worked out as a function of time. Quantum mechanical formula without environment is modifed both by the potential renormalization effect and by a dynamical factor which may appreciably differ from the previously obtained one in the time range of 1/(curvature at the top of potential barrier).
dc.description30 pages, LATEX file with 11 PS figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0006019
dc.identifierhttp://arxiv.org/abs/hep-ph/0006019
dc.identifierPhys.Rev.A63:012104,2001
dc.identifierdoi:10.1103/PhysRevA.63.012104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218588
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDynamics of barrier penetration in thermal medium: exact result for inverted harmonic oscillator
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