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arXiv 1902.03119quant-phnucl-exnucl-th
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指数行为与能量耗散子的关系--弱耦合极限

Relation between exponential behavior and energy denominators -- Weak Coupling Limit

Levering Wolfe, Larry Zamick

摘要:

在弱耦合极限下,我们给出了三对角矩阵和五对角矩阵的一些有趣的性质。在这种极限的前一种情况下,基态波函数振幅与指数函数e $^{(-v/E)}$的泰勒展开系数相同。关于过渡率的下降在五对角的情况下,这是不存在的三对角的情况下进行解释。一个密切的联系之间的能源消耗和指数行为的证明。

英文摘要:

We show some interesting properties of tridiagonal and pentadiagonal matrices in the weak coupling limits. In the former case of this limit the ground state wave function amplitudes are identical to the Taylor expansion coefficients of the exponential function e$^{(-v/E)}$. With regards to transition rates a dip in the pentadiagonal case which is not present in the tridiagonal case is explained. An intimate connection between energy denominators and exponential behavior is demonstrated.

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