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Volume 15: Pages 5-10, 2002
Schrödinger and the Hamilton‐Jacobi Equation
J. Chauveheid 1, F. X. Vacanti 2
1P.O. Box 241‐1200, Pavas, Costa Rica
228 Cedar Hill Road, Dover, Massachusetts 02030 U.S.A.
Schrödinger's equation may be developed from the time‐independent Hamilton‐Jacobi equation, which simply expresses the conservation of energy. This procedure leads to a condition for the equivalence of the two equations and shows the possibility that wave mechanics can be deterministic.
Keywords: Schrödinger's equation, Hamilton‐Jacobi equation, Bohr's hydrogen atom, de Broglie's second solution, spherical symmetry, causality
Received: February 23, 2000; Published online: December 15, 2008