English

Two-dimensional Fokker-Planck solutions and Grassmann variables

Condensed Matter 2009-10-28 v2

Abstract

After a short outline of the factorization and Grassmann picture of the one-dimensional (1D) Fokker-Planck (FP) equation, we consider a class of spatially-inhomogeneous solutions of the 2D FP equation with symmetric 2D (super)potentials. We show that the spatial inhomogeneities of that class of solutions can be attributed to underlying Grassmannian pseudo-degrees of freedom. Such an interpretation may also be applied to FP solutions in three and more dimensions.

Keywords

Cite

@article{arxiv.cond-mat/9510016,
  title  = {Two-dimensional Fokker-Planck solutions and Grassmann variables},
  author = {H. C. Rosu and J. Socorro and O. Obregón},
  journal= {arXiv preprint arXiv:cond-mat/9510016},
  year   = {2009}
}

Comments

5 pages in LaTex, no figures

R2 v1 2026-07-22T11:50:56.095Z