Abstract
A nonstandard way of representing the canonical anticommutation relations is presented. It is connected with a generalization of the Heisenberg group to a graded phase space. It is shown how Grassmann harmonic analysis can be performed and what are the Q-representations of such a generalized Heisenberg group. As in the conventional case, the Schroedinger and Bargmann-Fock realizations were shown to exist. Grassmann-Hermite polynomials are obtained via the generalized Bargmann transform and new Grassmann-Laguerre polynomials are introduced. (author). 10 refs.
Frydryszak, A
[1]
- Nationaal Inst. voor Kernfysica en Hoge-Energiefysica (NIKHEF), Amsterdam (Netherlands). Sectie H
Citation Formats
Frydryszak, A.
On the fermionic Heisenberg group and its Q-representation.
Netherlands: N. p.,
1992.
Web.
Frydryszak, A.
On the fermionic Heisenberg group and its Q-representation.
Netherlands.
Frydryszak, A.
1992.
"On the fermionic Heisenberg group and its Q-representation."
Netherlands.
@misc{etde_10145386,
title = {On the fermionic Heisenberg group and its Q-representation}
author = {Frydryszak, A}
abstractNote = {A nonstandard way of representing the canonical anticommutation relations is presented. It is connected with a generalization of the Heisenberg group to a graded phase space. It is shown how Grassmann harmonic analysis can be performed and what are the Q-representations of such a generalized Heisenberg group. As in the conventional case, the Schroedinger and Bargmann-Fock realizations were shown to exist. Grassmann-Hermite polynomials are obtained via the generalized Bargmann transform and new Grassmann-Laguerre polynomials are introduced. (author). 10 refs.}
place = {Netherlands}
year = {1992}
month = {Jun}
}
title = {On the fermionic Heisenberg group and its Q-representation}
author = {Frydryszak, A}
abstractNote = {A nonstandard way of representing the canonical anticommutation relations is presented. It is connected with a generalization of the Heisenberg group to a graded phase space. It is shown how Grassmann harmonic analysis can be performed and what are the Q-representations of such a generalized Heisenberg group. As in the conventional case, the Schroedinger and Bargmann-Fock realizations were shown to exist. Grassmann-Hermite polynomials are obtained via the generalized Bargmann transform and new Grassmann-Laguerre polynomials are introduced. (author). 10 refs.}
place = {Netherlands}
year = {1992}
month = {Jun}
}