Pseudodifferential forms and supermechanics

Details Pseudodifferential forms and supermechanics Pseudodifferential forms and supermechanics

2003-08-25

arxiv.org/abs/math/0308232v1

Czechoslovak Journal of Physics, Vol. 54, No. 2 (2004), s. 177-188

Mathematics

Differential Geometry

10 pages

Scientific paper

10.1023/B:CJOP.0000014400.74657.

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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