Europhysics Letters (EPL)
Critique and correction of the currently accepted solution of the infinite spherical well in quantum mechanics
Young‐Sea Huang, Hans-Rudolf Thomann
Abstract
An error in the currently accepted solution of the problem of the infinite spherical well is pointed out.The problem is then solved by considering the self-adjointness of the Hamiltonian operator.In contrast to the currently accepted solution, the radial probability density for finding the particle at the center of the spherical well is not necessarily zero, in accordance with the solutions obtained.