A Generalization of Quantum Theory

Abstract

We generalize matter wave theory by replacing Planck’s constant with a general parameter. Then we solve for the existence of standing wave solutions in the hydrogen atomic system to recover Planck’s constant. The method can be applied to other physical systems to find their corresponding constants. For solar system, we use the corresponding constant to substitute Planck’s constant in Schrodinger equation and solve it to obtain the radius to the sun of the planets, which are consistent with empirical data. Quantum theory can be generalized to different physical systems by substituting Planck’s constant with their characteristic constants.