FIZIKA B 11 (2002)  1, 9-18

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ON QUASI-EXACTLY SOLVABLE POTENTIALS

CAO XUAN CHUAN

01 Parvis du Breuil, 92160 Antony, France

Received 10 October 2001; Accepted 21 January 2002
Online 25 May 2002

It is shown that for any exactly solvable potential considered here, belonging to the class of the first generation, there are always posibilities to construct the class of second generation potentials, which are either exactly solvable or quasi-exactly solvable. The alternatives exactly solvable or quasi-exactly solvable depend on the choice of the ``base" related to the set of excited eigenstates corresponding to the first generation potentials.

PACS number: 03.64.Ge
UDC 530.145

Keywords: Schrödinger equation, exactly solvable potentials, quasi-exactly solvable potentials, supersymmetry

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