Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum

الأصل · EN

We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with an N-dimensional radial potential V=g²/2(r²-1)² and an angular momentum l. For g large, the rate of convergence is similar to a power series in g⁻¹.