کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
974093 932959 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational supersymmetric approach to evaluate Fokker–Planck probability
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Variational supersymmetric approach to evaluate Fokker–Planck probability
چکیده انگلیسی

In this work we introduce a method to determine the time dependent probability density for the one-dimensional Fokker–Planck equation. The treatment is based in an analysis of the Schrödinger equation through the variational method associated to the formalism of supersymmetric quantum mechanics (SQM). The approach uses an ansatz for the superpotential which allows us to obtain the trial functions of the variational method. The hierarchy of effective Hamiltonians permits us to determine the variational eigenfunctions and energies of the excited states to the evaluation of the probability. The symmetric bistable potential is used to illustrate the approach whose results are compared with results obtained by the state-dependent diagonalization method and by direct numerical calculation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 18, 15 September 2010, Pages 3892–3899
نویسندگان
, , ,