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Pseudodifferential forms and supermechanics

Denis Kochan
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Abstract

We investigate (pseudo)differential forms in the framework of supergeometry. Definitions, basic properties and Cartan calculus (DeRham differential, Lie derivative, inner product, Hodge operator) are presented; the symplectic supermechanics (even and odd) is formulated; and the question of quantization is discussed. In the framework of supermechanics, we investigate also classical Hamiltonian systems converting to SUSY-QM after quantization.

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BibTeXRIS

Denis Kochan. 2003-08-25. Pseudodifferential forms and supermechanics. https://doi.org/10.1023/b%3Acjop.0000014400.74657.02

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