Nonstandard Ideals, Unicellularity, and Algebras Associated with a Shift Operator

Author(s):  
N. K. Nikol’skii
Keyword(s):  
2008 ◽  
Vol 40 (6) ◽  
pp. 17-26
Author(s):  
Valentin N. Tomashevskiy ◽  
Alexander N. Vinogradov ◽  
Yuriy A. Oleinik

1997 ◽  
Vol 12 (01) ◽  
pp. 171-176 ◽  
Author(s):  
David J. Fernández C.

The exactly solvable eigenproblems in Schrödinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham–Moses potentials as a particular case.


1988 ◽  
Vol 130 (6-7) ◽  
pp. 385-389 ◽  
Author(s):  
Alain J. Phares ◽  
Francis J. Wunderlich

Author(s):  
J. Van der Jeugt ◽  
G. Vanden Berghe ◽  
H. De Meyer

2010 ◽  
Vol 22 (8) ◽  
pp. 1925-1929
Author(s):  
张玉强 Zhang Yuqiang ◽  
葛德彪 Ge Debiao

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