Classical solution of the wave equation

Details Classical solution of the wave equation Classical solution of the wave equation

2000-10-24

arxiv.org/abs/quant-ph/0010084v3

Physics

Quantum Physics

8 Pages, 10 Refs, LaTex

Scientific paper

The classical limit of wave quantum mechanics is analyzed. It is shown that the general requirements of continuity and finiteness to the solution $\psi(x)=Ae^{i\phi(x)}+ Be^{-i\phi(x)}$, where $\phi(x)=\frac 1\hbar W(x)$ 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.

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