dorsal/arxiv
View SchemaQuantization of the classical action and eigenvalue problem
| Authors | M. N. Sergeenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211099 |
| URL | https://arxiv.org/abs/quant-ph/0211099 |
Abstract
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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"abstract": "The eigenvalue problem in quantum mechanics is reduced to quantization of the\nclassical action of the physical system. State function of the system,\n$\\psi_0(\\phi)$, is written in the form of superposition of two plane waves in\nthe phase space. Quantization condition is derived from the basic requirements\nof continuity and finiteness for $\\psi_0(\\phi)$ in the whole region.",
"arxiv_id": "quant-ph/0211099",
"authors": [
"M. N. Sergeenko"
],
"categories": [
"quant-ph"
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"title": "Quantization of the classical action and eigenvalue problem",
"url": "https://arxiv.org/abs/quant-ph/0211099"
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