Hahn polynomials on polyhedra and quantum integrability
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DOI: 10.1016/j.aim.2020.107032
Abstract: Abstract Orthogonal polynomials with respect to the hypergeometric distribution on lattices in polyhedral domains in R d , which include hexagons in R 2 and truncated tetrahedrons in R 3 , are defined and studied.… read more here.
Keywords: system; polynomials polyhedra; polyhedra quantum; hahn polynomials ... See more keywords
Quantum Systems Associated with the Hahn and Continuous Hahn Polynomials
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DOI: 10.1016/s0034-4877(19)30002-3
Abstract: Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials. The continuum energy scattering states are written in terms… read more here.
Keywords: quantum systems; hahn polynomials; continuous hahn; hahn continuous ... See more keywords