A Dirac–Dunkl Equation on S[superscript 2] and the Bannai–Ito Algebra
The Dirac–Dunkl operator on the two-sphere associated to the Z[superscript 3][subscript 2] reflection group is considered. Its symmetries are found and are shown to generate the Bannai–Ito algebra. Representations of the Bannai–Ito algebra are constructed using ladder operators. Eigenfunctions of...
Main Authors: | , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg
2017
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Online Access: | http://hdl.handle.net/1721.1/106578 |