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- W288081191 abstract "We investigate an algebraic model for quantum oscillator based upon Lie superalgebra sh(2|2), known as Heisenberg-Weyl superalgebra or the algebra of supersymmetric quantum mechanics, and its Fock representation. The model offers some freedom in choice of a position and a momentum operator, leading to a free model parameter gamma. Using technique of Jacobi matrices, we determine spectrum of position operator, and show that its wavefunctions are related to Charlier polynomials C_n with parameter gamma^2. Some properties of these wavefunctions are discussed, as well as some other properties of current oscillator model." @default.
- W288081191 created "2016-06-24" @default.
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- W288081191 date "2013-04-11" @default.
- W288081191 modified "2023-09-27" @default.
- W288081191 title "The superalgebra of supersymmetric quantum mechanics and Charlier polynomials" @default.
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