On one-dimensional Schrödinger problems allowing polynomial solutions

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چکیده

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On 1D Schrödinger problems allowing polynomial solutions

We discuss the explicit construction of the Schrödinger equations admitting representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has been performed also in higher dimensional problems. PACS numbers: 03.65.-w, 03.65.Ge, 03.65.Ca, 02.90.+p Published in Journal of Physics A: Mathematical an...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2000

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/33/6/310