Abstract:
The method developed earlier [1] is applied to the more complicated case of two
spatial coordinates. The equations for the ground and excited states are of the same
form as in the one-dimensional case, but the integrations are substituted by double
ones. The divergencies more complicated than those in the one-dimensional case arise.
However they can be avoided by means of extracting a certain special factor from the
eigen-functional $\Omega$ of the energy operator $H$.