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arXiv math-ph/0411005math-phmath.MPquant-ph
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吸引中心势的临界强度

Critical strength of attractive central potentials

Fabian Brau, Monique Lassaut

摘要:

我们得到了几个序列的必要和充分条件适用于有吸引力的(纯负)中心势的束缚态的存在。这些条件产生了几个序列的上限和下限的临界值,$g_{\rm{c}}^{(\ell)}$,耦合常数(强度),$g$,潜在的,$V(r)=-g v(r)$,第一个$\ell$波束缚态出现,它收敛到准确的临界值。

英文摘要:

We obtain several sequences of necessary and sufficient conditions for the existence of bound states applicable to attractive (purely negative) central potentials. These conditions yields several sequences of upper and lower limits on the critical value, $g_{\rm{c}}^{(\ell)}$, of the coupling constant (strength), $g$, of the potential, $V(r)=-g v(r)$, for which a first $\ell$-wave bound state appears, which converges to the exact critical value.

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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