1999/10/01 by Hyunsoo Min, Hyun-Soo Min, Hungsoo Kim +6
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #hep-th #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/s0370-2693(99)01268-x
published as Phys.Lett. B469 (1999) 193-197 · 9 pages, 4 figures
arxiv created 1999/10/01 · openalex publication_date 1999/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate a bifurcation of periodic instanton in Euclidean action-temperature diagram in quantum mechanical models. It is analytically shown that multiple zero modes of fluctuation operator should be arised at bifurcation points. This fact is used to derive a condition for the appearance of bifurcation points in action-temperature diagram. This condition enables one to compute the number of bifurcation points for a given quantum mechanical system and hence, to understand the whole behaviour of decay rate. It is explicitly shown that the previous criterion derived by nonlinear perturbation or negative-mode consideration is special limit of our case.