Published June 26, 1992
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On the fermionic Heisenberg group and its Q-representation
Creators
- 1. Nationaal Inst. voor Kernfysica en Hoge-Energiefysica (NIKHEF), Amsterdam (Netherlands). Sectie H
Description
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
Availability note (English)
MF available from INIS under the Report Number.Files
24039719.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 12 p.
- Report number
- NIKHEF-H--92-11
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 24039719
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CANONICAL DIMENSION; COMMUTATION RELATIONS; FERMIONS; FOCK REPRESENTATION; GROUP THEORY; HEISENBERG PICTURE; HERMITE POLYNOMIALS; LAGUERRE POLYNOMIALS; PHASE SPACE; SCHROEDINGER PICTURE; SUPERSYMMETRY
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MATHEMATICS; POLYNOMIALS; SCALE DIMENSION; SPACE; SYMMETRY