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摘要翻译：
本文利用Hilbert空间中的Hermite函数基（Fock基）研究了一族量子非谐振子。对该族的本征能进行了数值研究。将计算特征值的统计性质与随机矩阵理论的理论预测进行了比较。推断出结论。
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英文标题：
《Quantum anharmonic oscillator and its statistical properties》
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作者：
Maciej M. Duras
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
In the present article a family of quantum anharmonic oscillators is studied using Hermite's function basis (Fock's basis) in the Hilbert space. The numerical investigation of the eigenenergies of that family is presented. The statistical properties of the calculated eigenvalues are compared with the theoretical predictions derived from the Random Matrix Theory. Conclusions are inferred.
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PDF链接：
https://arxiv.org/pdf/711.3432
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