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Continuous Hahn polynomials and the Heisenberg algebra (1987)

Bender, Carl M. ; Mead, Lawrence R. ; Pinsky, Stephen S.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 28 (1987), S. 509-513

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Continuous Hahn polynomials have surfaced in a number of somewhat obscure physical applications. For example, they have emerged in the description of two-photon processes in hydrogen, hard-hexagon statistical mechanical models, and Clebsch–Gordan expansions for unitary representations of the Lorentz group SO(3,1). In this paper it is shown that there is a simple and elegant way to construct these polynomials using the Heisenberg algebra.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527635

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