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FIZIKA B 11 (2002) 1, 9-18
 
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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