TY - JOUR
T1 - Analytical solution to the Fokker-Planck equation with a bottomless action
AU - Nakazato, Hiromichi
PY - 1994/7/28
Y1 - 1994/7/28
N2 - A new Langevin equation with a field-dependent kernel is proposed to deal with bottomless systems. The corresponding Fokker-Planck equation is shown to be a diffusion-type equation and is solved analytically at any finite fictitious time. The solution generally depends on the choice of initial distribution and has no equilibrium limit. An interesting connection to the ordinary Feynman measure, which in this case is not normalizable, is clarified.
AB - A new Langevin equation with a field-dependent kernel is proposed to deal with bottomless systems. The corresponding Fokker-Planck equation is shown to be a diffusion-type equation and is solved analytically at any finite fictitious time. The solution generally depends on the choice of initial distribution and has no equilibrium limit. An interesting connection to the ordinary Feynman measure, which in this case is not normalizable, is clarified.
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U2 - 10.1016/0370-2693(94)91013-8
DO - 10.1016/0370-2693(94)91013-8
M3 - Article
AN - SCOPUS:4243665650
SN - 0370-2693
VL - 333
SP - 98
EP - 103
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -