On Some Families of Complex Hermite Polynomials and their Applications to Physics

DOI10.1007/978-3-319-18182-0_9zbMath1346.42031arXiv1309.4163OpenAlexW2464907912MaRDI QIDQ2820972

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Publication date: 16 September 2016

Published in: Operator Algebras and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4163

zbMATH Keywords

noncommutative quantum mechanicscomplex orthogonal polynomialsdeformed Hermite polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General quantum mechanics and problems of quantization (81S99) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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