2. J. Chauveheid, F. X. Vacanti, Schrödinger and the Hamilton‐Jacobi Equation

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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