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A toy model for higher spin Dirac operators

David Eelbode (UGent) and Liesbet Van de Voorde (UGent)
(2010) PHYSICS OF ATOMIC NUCLEI. 73(2). p.282-287
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Abstract
This paper deals with the higher spin Dirac operator Q(2,1) acting on functions taking values in an irreducible representation space for so(m) with highest weight (5/2, 3/2, 1/2,..., 1/2). This operator acts as a toy model for generalizations of the classical Rarita-Schwinger equations in Clifford analysis. Polynomial null solutions for this operator are studied in particular.
Keywords
higher spin, Clifford analysis, Dirac operator

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Citation

Please use this url to cite or link to this publication:

Chicago
Eelbode, David, and Liesbet Van de Voorde. 2010. “A Toy Model for Higher Spin Dirac Operators.” Physics of Atomic Nuclei 73 (2): 282–287.
APA
Eelbode, D., & Van de Voorde, L. (2010). A toy model for higher spin Dirac operators. PHYSICS OF ATOMIC NUCLEI, 73(2), 282–287.
Vancouver
1.
Eelbode D, Van de Voorde L. A toy model for higher spin Dirac operators. PHYSICS OF ATOMIC NUCLEI. 2010;73(2):282–7.
MLA
Eelbode, David, and Liesbet Van de Voorde. “A Toy Model for Higher Spin Dirac Operators.” PHYSICS OF ATOMIC NUCLEI 73.2 (2010): 282–287. Print.
@article{969786,
  abstract     = {This paper deals with the higher spin Dirac operator Q(2,1) acting on functions taking values in an irreducible representation space for so(m) with highest weight (5/2, 3/2, 1/2,..., 1/2). This operator acts as a toy model for generalizations of the classical Rarita-Schwinger equations in Clifford analysis. Polynomial null solutions for this operator are studied in particular.},
  author       = {Eelbode, David and Van de Voorde, Liesbet},
  issn         = {1063-7788},
  journal      = {PHYSICS OF ATOMIC NUCLEI},
  keyword      = {higher spin,Clifford analysis,Dirac operator},
  language     = {eng},
  number       = {2},
  pages        = {282--287},
  title        = {A toy model for higher spin Dirac operators},
  url          = {http://dx.doi.org/10.1134/S1063778810020134},
  volume       = {73},
  year         = {2010},
}

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