A class of orthogonal polynomials suggested by a trigonometric Hamiltonian: Antisymmetric states

Date

2005-05-01

Author

Taşeli, Hasan

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This is the second in a series of papers dealing with the sets of orthogonal polynomials generated by a trigonometric Hamiltonian. In the first of this series, a subclass of the Jacobi polynomials denoted by T-n((u)) (x) and referred to as the T - polynomial of the first kind, which arises in the investigation of the symmetric state eigenfunctions of the Hamiltonian under consideration, was examined. Another subclass of the Jacobi polynomials denoted by U ((u))(n) (x) is introduced here representing the antisymmetric states, and is called in accordance the T - polynomial of the second kind. Moreover, by the derivation of the ultraspherical polynomial wavefunctions, interrelations between the T - polynomials of the first and second kinds as well as the other orthogonal polynomial systems are also emphasized.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/48779

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-004-1104-1

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “A class of orthogonal polynomials suggested by a trigonometric Hamiltonian: Antisymmetric states,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 377–388, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48779.