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arXiv 2111.095542021-11-18math-phmath.MPmath.SP

用于斯塔克共振的复吸收势方法

Complex absorbing potential method for Stark resonances

Kentaro Kameoka

备注：: 14 pages
发表信息：: Journal of Mathematical Physics (2022)
DOI：: 10.1063/5.0080031

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AI总结：

本研究利用复吸收势方法刻画斯塔克哈密顿量的共振，证明吸收系数趋于零时斯塔克共振为带二次复吸收势的斯塔克哈密顿量复本征值的极限点，采用锥外复形变方法，支持含局部奇异性的势作为微扰。

摘要：

我们通过复吸收势方法刻画斯塔克哈密顿量的共振特性。具体而言，我们证明当吸收系数趋于零时，斯塔克共振是带有二次复吸收势的斯塔克哈密顿量复本征值的极限点。证明采用了作者此前工作中提出的锥外复形变方法。允许库仑势等具有局部奇异性的势作为微扰项。

英文摘要：

We characterize the resonances of Stark Hamiltonians by the complex absorbing potential method. Namely, we prove that the Stark resonances are the limit points of complex eigenvalues of the Stark Hamiltonian with a quadratic complex absorbing potential when the absorbing coefficient tends to zero. The proof employs the complex distortion outside a cone introduced in the previous work by the author. Potentials with local singularities such as the Coulomb potential are allowed as perturbations.

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