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Finite oscillator models described by the Lie superalgebra sl(2|1)

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Abstract
We investigate new models for a finite quantum oscillator based upon the Lie superalgebra sl(2|1), where the position and momentum operators are represented as odd elements of the algebra. We discuss properties of the spectrum of the position operator, and of the (discrete) position wavefunctions given by (alternating) Krawtchouk polynomials.
Keywords
discrete wavefunctions, Algebraic oscillator models, Krawtchouk polynomials, Lie superalgebra sl(2|1)

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MLA
Van der Jeugt, Joris. “Finite Oscillator Models Described by the Lie Superalgebra Sl(2|1).” Nankai Series in Pure, Applied Mathematics and Theoretical Physics, edited by Chengming Bai et al., vol. 11, World Scientific, 2013, pp. 301–06.
APA
Van der Jeugt, J. (2013). Finite oscillator models described by the Lie superalgebra sl(2|1). In C. Bai, J.-P. Gazeau, & M.-L. Ge (Eds.), Nankai Series in Pure, Applied Mathematics and Theoretical Physics (Vol. 11, pp. 301–306). Singapore, Singapore: World Scientific.
Chicago author-date
Van der Jeugt, Joris. 2013. “Finite Oscillator Models Described by the Lie Superalgebra Sl(2|1).” In Nankai Series in Pure, Applied Mathematics and Theoretical Physics, edited by Chengming Bai, Jean-Pierre Gazeau, and Mo-Lin Ge, 11:301–6. Singapore, Singapore: World Scientific.
Chicago author-date (all authors)
Van der Jeugt, Joris. 2013. “Finite Oscillator Models Described by the Lie Superalgebra Sl(2|1).” In Nankai Series in Pure, Applied Mathematics and Theoretical Physics, ed by. Chengming Bai, Jean-Pierre Gazeau, and Mo-Lin Ge, 11:301–306. Singapore, Singapore: World Scientific.
Vancouver
1.
Van der Jeugt J. Finite oscillator models described by the Lie superalgebra sl(2|1). In: Bai C, Gazeau J-P, Ge M-L, editors. Nankai Series in Pure, Applied Mathematics and Theoretical Physics. Singapore, Singapore: World Scientific; 2013. p. 301–6.
IEEE
[1]
J. Van der Jeugt, “Finite oscillator models described by the Lie superalgebra sl(2|1),” in Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Tianjin, PR China, 2013, vol. 11, pp. 301–306.
@inproceedings{4181638,
  abstract     = {{We investigate new models for a finite quantum oscillator based upon the Lie superalgebra sl(2|1), where the position and momentum operators are represented as odd elements of the algebra. We discuss properties of the spectrum of the position operator, and of the (discrete) position wavefunctions given by (alternating) Krawtchouk polynomials.}},
  author       = {{Van der Jeugt, Joris}},
  booktitle    = {{Nankai Series in Pure, Applied Mathematics and Theoretical Physics}},
  editor       = {{Bai, Chengming and Gazeau, Jean-Pierre and Ge, Mo-Lin}},
  isbn         = {{9789814518543}},
  keywords     = {{discrete wavefunctions,Algebraic oscillator models,Krawtchouk polynomials,Lie superalgebra sl(2|1)}},
  language     = {{eng}},
  location     = {{Tianjin, PR China}},
  pages        = {{301--306}},
  publisher    = {{World Scientific}},
  title        = {{Finite oscillator models described by the Lie superalgebra sl(2|1)}},
  volume       = {{11}},
  year         = {{2013}},
}