# Exact Solutions of the Schrödinger Equation for Pseudoharmonic Potential

Exact Solutions of the Schrödinger Equation for Pseudoharmonic Potential

The pseudoharmonic potential belongs to the small number of problems for which the Schrödinger equation is exactly solvable [1] and is thus of intrinsic interest. The solution is outlined in the Details below.

V(r)=-

2

V

0

r

a

a

r

For selected parameters and , you can either display an energy diagram, showing the first several eigenvalues superposed on the potential energy curve, or a plot of the radial function (r) for a selected value of the quantum number .

V

0

a

P

n

n