4 research outputs found
A note on N=4 supersymmetric mechanics on K\"ahler manifolds
The geometric models of N=4 supersymmetric mechanics with
(2d.2d)_{\DC}-dimensional phase space are proposed, which can be viewed as
one-dimensional counterparts of two-dimensional N=2 supersymmetric sigma-models
by Alvarez-Gaum\'e and Freedman. The related construction of supersymmetric
mechanics whose phase space is a K\"ahler supermanifold is considered. Also,
its relation with antisymplectic geometry is discussed.Comment: 4 pages, revte
The generalized MIC-Kepler system
This paper deals with dynamical system that generalizes the MIC-Kepler
system. It is shown that the Schr\"{o}dinger equation for this generalized
MIC-Kepler system can be separated in spherical and parabolic coordinates. The
spectral problem in spherical and parabolic coordinates is solved.Comment: 8 page