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

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

2000-06-02

arxiv.org/abs/hep-ph/0006019v1

Phys.Rev.A63:012104,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, LATEX file with 11 PS figures

Scientific paper

10.1103/PhysRevA.63.012104

Time 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).

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