Pseudodifferential forms and supermechanics
arXiv:math/0308232 · doi:10.1023/B:CJOP.0000014400.74657.02
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.
10 pages