Wave model for conservative bound systems

摘要

In the hidden variable theory,Bohm proved a connection between the Schrodinger and Hamilton-Jacobi equations and showed the existence of classical paths,for which the generalized Bohr quantization condition is valid.In this paper we prove similar properties,starting from the equivalence between the Schrodinger and wave equations in the case of the conservative bound systems.Our approach is based on the equations and postulates of quantum mechanics without using any additional postulate.Like in the hidden variable theory,the above properties are proven without using the approximation of geometrical optics or the semiclassical approximation.Since the classical paths have only a mathematical significance in our analysis,our approach is consistent with the postulates of quantum mechanics.