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Paraboson coherent states

(2010) PHYSICS OF ATOMIC NUCLEI. 73(2). p.269-275
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Abstract
It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators. In particular, the "parabosons of order p" correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V(p) of osp(1|2n). Recently we constructed these representations V(p) giving the explicit actions of the osp(1|2n) generators. We apply these results for the n=2 case in order to obtain "coherent state" representations of the paraboson operators.
Keywords
parabosons, Lie superalgebras, coherent states, STATISTICS

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Citation

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

MLA
Chakrabarti, R., et al. “Paraboson Coherent States.” PHYSICS OF ATOMIC NUCLEI, vol. 73, no. 2, 2010, pp. 269–75, doi:10.1134/S1063778810020110.
APA
Chakrabarti, R., Stoilova, N., & Van der Jeugt, J. (2010). Paraboson coherent states. PHYSICS OF ATOMIC NUCLEI, 73(2), 269–275. https://doi.org/10.1134/S1063778810020110
Chicago author-date
Chakrabarti, R, Nedialka Stoilova, and Joris Van der Jeugt. 2010. “Paraboson Coherent States.” PHYSICS OF ATOMIC NUCLEI 73 (2): 269–75. https://doi.org/10.1134/S1063778810020110.
Chicago author-date (all authors)
Chakrabarti, R, Nedialka Stoilova, and Joris Van der Jeugt. 2010. “Paraboson Coherent States.” PHYSICS OF ATOMIC NUCLEI 73 (2): 269–275. doi:10.1134/S1063778810020110.
Vancouver
1.
Chakrabarti R, Stoilova N, Van der Jeugt J. Paraboson coherent states. PHYSICS OF ATOMIC NUCLEI. 2010;73(2):269–75.
IEEE
[1]
R. Chakrabarti, N. Stoilova, and J. Van der Jeugt, “Paraboson coherent states,” PHYSICS OF ATOMIC NUCLEI, vol. 73, no. 2, pp. 269–275, 2010.
@article{943927,
  abstract     = {{It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators. In particular, the "parabosons of order p" correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V(p) of osp(1|2n). Recently we constructed  these representations V(p) giving the explicit actions of the osp(1|2n) generators. We apply these  results for the n=2 case in order to obtain "coherent state" representations of the paraboson operators.}},
  author       = {{Chakrabarti, R and Stoilova, Nedialka and Van der Jeugt, Joris}},
  issn         = {{1063-7788}},
  journal      = {{PHYSICS OF ATOMIC NUCLEI}},
  keywords     = {{parabosons,Lie superalgebras,coherent states,STATISTICS}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{269--275}},
  title        = {{Paraboson coherent states}},
  url          = {{http://doi.org/10.1134/S1063778810020110}},
  volume       = {{73}},
  year         = {{2010}},
}

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