SIP-potentials and self-similar potentials of Shabat and Spiridonov: space asymmetric deformation

Details SIP-potentials and self-similar potentials of Shabat and Spiridonov: space asymmetric deformation SIP-potentials and self-similar potentials of Shabat and Spiridonov: space asymmetric deformation

2005-12-03

arxiv.org/abs/hep-th/0512034v1

Bulg.J.Phys. 33S1 (2006) 660-667

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure, Standard LaTeX v2.e with style qts-proc. Talk in the 4th International Symposium "Quantum Theory and Symmet

Scientific paper

An appropriateness of a space asymmetry of shape invariant potentials with scaling of parameters and potentials of Shabat and Spiridonov in calculation of their forms, wave functions and discrete energy spectra has proved and has demonstrated on a simple example. Parameters, defined space asymmetry, have found. A new type of a hyerarchy, in which superpotentials with neighbouring numbers are connected by space rotation relatively a point of origin of space coordinates, has proposed.

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