Classical solution of the wave equation

Abstract

The classical limit of wave quantum mechanics is analyzed. It is shown that the general requirements of continuity and finiteness to the solution $\psi (x)=A{e}^{i\varphi (x)}+B{e}^{-i\varphi (x)}$, where $\varphi (x)=\frac{1}{\hslash }W(x)$ and $W(x)$ is the reduced classical action of the physical system, result in the asymptote of the exact solution and general quantization condition for $W(x)$, which yields the exact eigenvalues of the system.

8 Pages, 10 Refs, LaTex

References in corpus (5)

• Semiclassical wave equation and exactness of the WKB method
• Mode structure and ray dynamics of a parabolic dome microcavity
• CONFINEMENT IN RELATIVISTIC POTENTIAL MODELS
• Relativistic semiclassical wave equation and its solution
• Energy Spectrum of anyon in the Coulomb field

Cited by in corpus (1)

• Glueball masses and Regge trajectories for the QCD-inspired potential