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Classical solution of the wave equation

M. N. Sergeenko
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Abstract

The classical limit of wave quantum mechanics is analyzed. It is shown that the general requirements of continuity and finiteness to the solution $\psi(x)=Ae^{i\phi(x)}+ Be^{-i\phi(x)}$, 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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M. N. Sergeenko. 2000-10-24. Classical solution of the wave equation. https://doi.org/10.1142/s0217751x03015805

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