Quantization of the classical action and eigenvalue problem

2002/11/18 by М. Н. Сергеенко, M. N. Sergeenko, Sergeenko, M. N.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0211099

7 pages

arxiv created 2002/11/18 · openalex publication_date 2002/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenvalue problem in quantum mechanics is reduced to quantization of the classical action of the physical system. State function of the system, ψ₀(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 ψ₀(ϕ) in the whole region.

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