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arXiv 1601.02786quant-phmath-phmath.MP
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三次振子的整体解

Global solution of the cubic oscillator

E. M. Ferreira, J. Sesma

摘要:

用原始方法和替代方法研究了实或复立方非谐振子的本征态。该程序包括确定符合相关边界条件的薛定谔方程的整体解,并允许我们以非常简单的方式获得哈密顿量的本征能量和本征函数。作为一个具体的情况下,一个真正的立方势的散射进行了研究。

英文摘要:

The eigenstates of a real or complex cubic anharmonic oscillator are investigated using original and alternative methods. The procedure consists of determining global solutions of the Schrödinger equation that comply with the pertinent boundary conditions and allows us to obtain, in a very simple way, the eigenenergies and eigenfunctions of the Hamiltonian. Scattering by a real cubic potential is investigated as a specific case.

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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