Some Biorthogonal Families of Polynomials Arising in Noncommutative Quantum Mechanics
Mathematical Physics
2021-12-21 v1 math.MP
Abstract
In this paper we study families of complex Hermite polynomials and construct deformed versions of them, using a transformation. This construction leads to the emergence of biorthogonal families of deformed complex Hermite polynomials, which we then study in the context of a two-dimensional model of noncommutative quantum mechanics.
Keywords
Cite
@article{arxiv.1309.4163,
title = {Some Biorthogonal Families of Polynomials Arising in Noncommutative Quantum Mechanics},
author = {F. Balogh and Nurisya M. Shah and S. Twareque Ali},
journal= {arXiv preprint arXiv:1309.4163},
year = {2021}
}
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17 pages