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奇点zph与超导临界温度级数

雷啸霖

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奇点zph与超导临界温度级数

雷啸霖

SINGULAR POINT zph AND THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE

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  • 基于对复变函数Fα(y)=∫0(ωph-α)(ω2y)/(ω2y+1)g(ω)dω解析性质的分析,本文认为:在决定的收敛半径以外,吴杭生等提出的Tc级数解的部分和作为近似Tc公式仍可用于1/λ的适当范围。但它可能达到的精度依赖于谱形,一般来说是有限的。
    Based on a discussion on the analytical properties of the complex function Fα(y)=∫0(ωph-α)(ω2y)/(ω2y+1)g(ω)dω, we suggest that the partial sum of the Tc series solution proposed by Wu Hang-sheng et al., as an approximate expression for superconducting critical temperature, may still work fairly well within certain range of 1/λ greater thanthe radius of convergence which is limited by the singular point zph. However, the error of the expression that depends upon the highfrequency behavior of the effective phonon spectral g(ω), can not be made infinitely small.
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出版历程
  • 收稿日期:  1981-03-03
  • 刊出日期:  1981-05-05

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