ISSN:
1573-0530
Keywords:
34L40
;
17B37
;
33D80
;
81R50
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract Properties of the simplest class of self-similar potentials are analyzed. Wave functions of the corresponding Schrödinger equation provide bases of representations of theq-deformed Heisenberg-Weyl algebra. When the parameterq is a root of unity, the functional form of the potentials can be found explicitly. The generalq 3 = 1 and the particularq 4 = 1 potentials are given by the equi-anharmonic and (pseudo) lemniscatic Weierstrass functions, respectively.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00739567
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