An extremum principle was postulated by Horne, Finkelstein, Shull, Zeilinge
r, and Bernstein in order to derive the physically allowable parameters for
sinusoidal standing waves governing a neutron in a crystal which is immers
ed in a strong external magnetic field. "the expectation value of the total
potential [V] is nn extremum." We show that this extremum principle can be
obtained from the variational principle risen hy Schrodinger to derive his
nonrelativistic wave equation. We rederive the solutions found by the abov
e-mentioned authors as well as same additional solutions.