Quantization of the classical action and eigenvalue problem

M. N. Sergeenko

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arXiv · quant-ph/0211099

Quantization of the classical action and eigenvalue problem

M. N. Sergeenko

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Abstract

The eigenvalue problem in quantum mechanics is reduced to quantization of the classical action of the physical system. State function of the system, $ψ_0(ϕ)$, is written in the form of superposition of two plane waves in the phase space. Quantization condition is derived from the basic requirements of continuity and finiteness for $ψ_0(ϕ)$ in the whole region.

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M. N. Sergeenko. 2002-11-18. Quantization of the classical action and eigenvalue problem. https://arxiv.org/abs/quant-ph/0211099

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