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arXiv quant-ph/9910038quant-ph
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可解势的精化因子分解

Refined Factorizations of Solvable Potentials

J. Negro, L. M. Nieto, O. Rosas-Ortiz

摘要:

推广的因式分解技术被证明是发现量子力学中一类可积系统进一步性质的有力代数工具。应用该方法研究了径向振子、Morse势和Coulomb势,得到了一组广泛的升降算符,并清楚地表明了这些系统之间的联系。

英文摘要:

A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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