# Two-dimensional Fokker - Planck solutions and Grassmann variables

@article{Rosu1996TwodimensionalF, title={Two-dimensional Fokker - Planck solutions and Grassmann variables}, author={Haret C. Rosu and J Socorro and Octavio Obreg'on}, journal={Journal of Physics A}, year={1996}, volume={29}, pages={1825-1829} }

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.

## 2 Citations

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Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry…

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