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arXiv math-ph/0105019math-phmath.MP
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复旋转哈密顿量的谱边界方法的推广及其在$p^2-ix^3$中的应用

Extension of a Spectral Bounding Method to Complex Rotated Hamiltonians, with Application to $p^2-ix^3$

C. R. Handy, Xiao Qian Wang

摘要:

我们表明,最近开发的方法产生的非厄米$-ix^3$潜在的离散能态的边界(Handy 2001)是适用于复杂的旋转版本的哈密顿量。这对于在复平面中分析共振态、Regge极点和一般束缚态的方法的扩展具有重要意义(Bender和Boettcher(1998))。

英文摘要:

We show that a recently developed method for generating bounds for the discrete energy states of the non-hermitian $-ix^3$ potential (Handy 2001) is applicable to complex rotated versions of the Hamiltonian. This has important implications for extension of the method in the analysis of resonant states, Regge poles, and general bound states in the complex plane (Bender and Boettcher (1998)).

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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