Exact Solutions of the two-dimensional Schrödinger equation with certain central potentials
Dong, Shi-Hai
Original · EN
By applying an ansatz to the eigenfunction, an exact closed form solution of the Schrödinger equation in 2D is obtained with the potentials, V(r)=ar²+br⁴+cr⁶, V(r)=ar+br²+cr⁻¹ and V(r)=ar²+br⁻²+cr⁻⁴+dr⁻⁶, respectively. The restrictions on the parameters of the given potential and the angular momentum m are obtained.
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