Orthosymplectically invariant functions in superspace
Mathematical Physics
2015-05-19 v1 Classical Analysis and ODEs
math.MP
Abstract
The notion of spherically symmetric superfunctions as functions invariant under the orthosymplectic group is introduced. This leads to dimensional reduction theorems for differentiation and integration in superspace. These spherically symmetric functions can be used to solve orthosymplectically invariant Schroedinger equations in superspace, such as the (an)harmonic oscillator or the Kepler problem. Finally the obtained machinery is used to prove the Funk-Hecke theorem and Bochner's relations in superspace.
Cite
@article{arxiv.1006.4744,
title = {Orthosymplectically invariant functions in superspace},
author = {Kevin Coulembier and Hendrik De Bie and Frank Sommen},
journal= {arXiv preprint arXiv:1006.4744},
year = {2015}
}
Comments
J. Math. Phys