Finite oscillator models described by the Lie superalgebra sl(2|1)
- Author
- Joris Van der Jeugt (UGent)
- Organization
- 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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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-4181638
- 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}},
}