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arXiv math-ph/0104019math-phhep-thmath.CVmath.MPquant-ph
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W_t超越函数及其量子力学应用

The W_t Transcendental Function and Quantum Mechanical Applications

V. E. Markushin, R. Rosenfelder, A. W. Schreiber

摘要:

我们讨论了函数wt(x)通过隐式方程wt(x)*tan[wt(x)]=x定义,该方程出现在某些量子力学和场论应用中。我们调查其解析结构,开发系列扩展为小和大的x,并提供各种技术,其数值计算在复杂的平面。

英文摘要:

We discuss the function wt(x) defined via the implicit equation wt(x)*tan[wt(x)]=x which appears in certain quantum mechanical and field theoretic applications. We investigate its analytic structure, develop series expansions for both small and large x, and provide various techniques for its numerical evaluation in the complex plane.

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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