A. Popa, APPLICATIONS OF A PROPERTY OF THE SCHRODINGER-EQUATION TO THE MODELING OF CONSERVATIVE DISCRETE-SYSTEMS, Journal of the Physical Society of Japan, 67(8), 1998, pp. 2645-2652
Recently we have demonstrated in a mathematical paper the following pr
operty: The energy which results from the Schrodinger equation can he
rigorously calculated by line integrals of analytical functions, if th
e Hamilton-Jacobi equation, written for the same system, is satisfied
in the space of coordinates by a periodical trajectory. We present now
an accurate analysis model of the conservative discrete systems, that
is based on this property. The theory is checked for a lot of atomic
systems. The experimental data, which are ionization energies, are tak
en from well known books.