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arXiv 2108.05706cond-mat.stat-mech
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specific heat -声子谱反演的简单级数解

Simple series solutions to specific heat-phonon spectrum inversion

Rong Qiang Wei

摘要:

比热-声子谱反演在固体物理中起着重要的作用。但对于这个本质不适定的问题,大多数已知的解决方案在形式和内容上都很复杂,尽管它们是严格和完美的。在这里,我们建议这个问题的另一个更简单的级数解决方案,可以很容易地计算,如果比热与温度的比值可以展开成幂级数,或者比热可以渐近展开和条件。此外,我们建议类似的解决方案,黑体辐射反演。

英文摘要:

The specific heat-phonon spectrum inversion has played a significant role in solid physics. But for this inherently ill-posed problem, most of the known solutions are complex both in form and content, although they are rigorous and perfect. Here we suggest another simpler series solution to this problem, which can be easily calculated if the ratio of specific heat to temperature can be expanded into a power series, or specific heat can be expanded asymptotically and conditionally. Furthermore, we suggest similar solutions to the black-body radiation inversion.

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