Thursday, June 21st 2007 - h. 15:00
ANISOTROPIC SPHERICAL OSCILLATOR
Yerevan State University, Armenia
We propose the integrable anisotropic deformation of the model of spherical (and hyperbolic) oscillator suggested by Higgs in 1979. In the planar limit it results in the anisotropic oscillator perturbed by specific forth order potential. The origin of this potential
is quite simple but important. When we transform the oscillator in the Coulomb system, this potential results in the Stark term. Hence, from the initial system we get the integrable model for the study of Stark effect in the Coulomb system on sphere and hiperboloid.