Quantization of the classical action and eigenvalue problem

Details Quantization of the classical action and eigenvalue problem Quantization of the classical action and eigenvalue problem

2002-11-18

arxiv.org/abs/quant-ph/0211099v1

Physics

Quantum Physics

7 pages

Scientific paper

The eigenvalue problem in quantum mechanics is reduced to quantization of the
classical action of the physical system. State function of the system,
$\psi_0(\phi)$, 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 $\psi_0(\phi)$ in the whole region.

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