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arXiv math/0306218math.DSmath-phmath.MP
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一个精确量子化方案的收敛性

Convergence of an exact quantization scheme

Artur Avila

摘要:

Voros \cite {V}证明了一维齐次非谐振子(薛定谔算子与势$q^{2M}$,$M>1$)的谱是显式非线性变换的不动点.我们证明了这个不动点在适当规范化序列空间中是全局指数吸引的。

英文摘要:

It has been shown by Voros \cite {V} that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schrödinger operator with potential $q^{2M}$, $M>1$) is a fixed point of an explicit non-linear transformation. We show that this fixed point is globally and exponentially attractive in spaces of properly normalized sequences.

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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