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quant-ph1999
Exact Solutions of the Schrodinger Equation with Inverse-Power Potential in Two Dimensions
Shi-Hai Dong, Zhong-Qi Ma, Giampiero Esposito
The Schrodinger equation for stationary states is studied in a central potential V(r) proportional to the inverse power of r of degree beta in an arbitrary number of spatial dimens…
quant-ph1999
The Exact Solution to the Schrödinger Equation with the Octic Potential
Shi-Hai Dong, Zhong-Qi Ma
The Schrödinger equation with the central potential is first studied in the arbitrary dimensional spaces and obtained an analogy of the two-dimensional Schrödinger equation for the…
quant-ph1999
Exact Solutions to the Schrödinger Equation for the Inverse-Power Potential in Two Dimensions
Shi-Hai Dong, Zhong-Qi Ma
Utilizing an for the eigenfunctions, we arrive at an exact closed form solution to the Schrödinger equation with the inverse-power potential, $V(r)=ar^{-4}+br^{-3}+c…