Physics – Quantum Physics
Scientific paper
1995-12-12
Physica A223 (1996) 193
Physics
Quantum Physics
25 pages, 7 figures, in press (Physica, A223, 193 (1996))
Scientific paper
Employing the path integral approach, we calculate the semiclassical equilibrium density matrix of a particle moving in a nonlinear potential field for coordinates near the top of a potential barrier. As the temperature is decreased, near a critical temperature $T_c$ the harmonic approximation for the fluctuation path integral fails. This is due to a caustic arising at a bifurcation point of the classical paths. We provide a selfconsistent scheme to treat the large quantum fluctuations leading to a nonlinear fluctuation potential. The procedure differs from methods used near caustics of the real time propagator. The semiclassical density matrix is determined explicitly for the case of asymmetric barriers from high temperatures down to temperatures somewhat below $T_c$. Pacs: 03.65.Sq, 05.30.-d
Ankerhold Joachim
Grabert Hermann
Weiper Franz Josef
No associations
LandOfFree
Semiclassical Density Matrix Near the Top of a Barrier does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semiclassical Density Matrix Near the Top of a Barrier, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical Density Matrix Near the Top of a Barrier will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-200610