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arXiv 2402.04293quant-ph
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谐波振荡器影响下诱导电偶极子系统中吸引性反平方势的研究

On the attractive inverse-square potential in the induced electric dipole system under the influence of the harmonic oscillator

K. Bakke, J. G. G. S. Ramos

AI总结:

本研究求解了谐波振荡器影响下诱导电偶极子系统中吸引性反平方势的薛定谔方程,证明了电场配置引入截止点时束缚态的存在,并给出了强电场及小角频率下的能量本征值,且扩展到非$s$波情况。

摘要:

我们获得了在谐波振荡器影响下,诱导电偶极矩系统中吸引性反平方势的薛定谔方程的解析解。我们证明了当电场配置引入一个截止点,为中性粒子设定一个禁戒区域时,束缚态可以存在。然后,通过处理$s$波,我们得到了强电场区域以及谐波振荡器角频率较小情况下的能量本征值。此外,我们将关于能量本征值的讨论扩展到$s$波之外。

英文摘要:

We obtain the analytical solutions to the Schrödinger equation for the attractive inverse-square potential in an induced electric dipole moment system under the influence of the harmonic oscillator. We show that bound states can exist when the electric field configuration brings a cut-off point that imposes a forbidden region for the neutral particle. Then, by dealing with $s$-waves, we obtain the energy eigenvalues in the strong electric field regime and for small values of the angular frequency of the harmonic oscillator. Further, we extend our discussion about the energy eigenvalues beyond the $s$-waves.

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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