Article ID Journal Published Year Pages File Type
1900651 Reports on Mathematical Physics 2008 9 Pages PDF
Abstract

We briefly describe the formalism with nilpotent fundamental variables, which in contrast to the Grassmannian ones, are commutative. This property gives another possibility to realize classically the Pauli exclusion principle. We sketch the relevant formalism and discuss simple model of nilpotent oscillator to illustrate the generalized nilpotent mechanics. The notion of the first-order nilpotent curve is introduced.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics