伪微分形式与超力学
Pseudodifferential forms and supermechanics
摘要：
我们在超几何的框架下研究（伪）微分形式。给出了辛超力学的定义、基本性质和Cartan演算（DeRham微分、Lie导数、内积、Hodge算子），建立了辛超力学（偶、奇），讨论了量子化问题。在超力学框架下，我们还研究了经典哈密顿系统量子化后向超对称量子力学的转化。
英文摘要：
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.
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