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Energy levels of the Schrödinger equation for some rational potentials in two-dimensional space using the inner product technique
Authors:M R M Witwit  J P Killingbeck
Affiliation:(1) Department of Applied Mathematics, University of Hull, HU6 7RX, England
Abstract:The energy levels of a two-dimensional system are calculated for the rational potential,V(x, y; λ, g)=x 2+y 2+λ[x 2/(1+gx 2)+y 2/(1+gy 2)+a xxx4+a xyx2 y 2+a yyy4] using the inner product technique over a wide range of values of the perturbation parameters (g, λ) and for various eigenstates.
Keywords:Perturbation theory  rational potential  energy level calculation
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