On Action with Grassmann-Odd Lagrangian

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The action with the Grassmann-odd Lagrangian for the supersymmetric classical Witten mechanics is constructed. It is shown that the exterior differential can be used for the connection between Grassmann-even and Grassmann-odd formulations of the classical dynamics in the superspace in both Hamilton's and Lagrange's approaches.
7 pages, LATEX. This paper is submitted for publication to JETP Letters

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