Pseudodifferential forms and supermechanics
微分几何
2010-01-23 v1 辛几何
摘要
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.
引用
@article{arxiv.math/0308232,
title = {Pseudodifferential forms and supermechanics},
author = {Denis Kochan},
journal= {arXiv preprint arXiv:math/0308232},
year = {2010}
}
备注
10 pages