Two-dimensional Fokker-Planck solutions and Grassmann variables

Details Two-dimensional Fokker-Planck solutions and Grassmann variables Two-dimensional Fokker-Planck solutions and Grassmann variables

1995-10-03

arxiv.org/abs/cond-mat/9510016v2

J. Phys. A: Math. Gen. 29 (1996) 1825-1829

Physics

Condensed Matter

5 pages in LaTex, no figures

Scientific paper

10.1088/0305-4470/29/8/028

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.

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