摘要翻译：
在任意有限空间维数下，采用首次量子化方法研究了一类量子非谐振子族，并对它们的本征能进行了研究。并将计算的特征能的统计性质与随机矩阵理论的理论预测进行了比较。得出了结论。
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英文标题：
《Quantum anharmonic oscillator and its statistical properties in the
  first quantization scheme》
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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：
  A family of quantum anharmonic oscillators is studied in any finite spatial dimension in the scheme of first quantization and the investigation of their eigenenergies is presented. The statistical properties of the calculated eigenenergies are compared with the theoretical predictions inferred from the Random Matrix theory. Conclusions are derived.
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PDF链接：
https://arxiv.org/pdf/711.3429