Semiclassical transition probabilities for interacting oscillators

Details Semiclassical transition probabilities for interacting oscillators Semiclassical transition probabilities for interacting oscillators

1994-01-24

arxiv.org/abs/hep-ph/9401318v4

Nucl.Phys. B436 (1995) 428-440

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, LATEX, PURD-TH-94-03 (adds estimates of accuracy of numerical calculations)

Scientific paper

10.1016/0550-3213(94)00529-N

Semiclassical transition probabilities characterize transfer of energy between "hard" and "soft" modes in various physical systems. We establish the boundary problem for singular euclidean solutions used to calculate such probabilities. Solutions are found numerically for a system of two interacting quartic oscillators. In the double-well case, we find numerical evidence that certain regular {\em minkowskian} trajectories have approximate stopping points or, equivalently, are approximately periodic. This property leads to estimates of tunneling excitation probabilities in that system and suggests that similar estimates may be possible in other systems with tunneling.

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