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从超导临界温度级数公式(1)出发,得到了B类超导体同位素效应的表达。在μ*=0及μ*≠0时,我们得到了Tc上限的级数表达式,其结果与数值解符合甚好。最后,在μ*=0时,讨论了Tc与各种谱参数的关系。由级数表达式可以清楚地看出,当固定不同参数时,Tc的行为完全不同,从而统一解释了不同作者关于声子谱对Tc影响的不同结论。我们着重指出,在大多数情况下,级数公式(1)仅取前两项,可作为数值解的很好近似,从而大大简化了级数公式。预计可以由此简化公式出发研究其它问题。Using the series formula of superconducting critical temperature (1), we have obtained an expression of isotope effect for B-type superconductors. In both cases of μ*= 0 and μ*≠0, we have obtained a series expression for the upper limit of Tc. The agreement between the results of series formula and numerical solution is quite good. Finally, with μ*= 0, we have discussed the relation between Tc and various spectrum parameters. It is apparent from the series expression that when fixing different parameters the behaviour of Tc is completely different, hence we have made a general interpretation for the different conclusions of other authors about the effect of phonon spectrum on Tc. We emphasize that, in most cases, the series formula (1), which we took up to first two terms only, can be used as a good approximation for numerical solution,so that the series formula is simplified greatly. It may be predicted that by using this simplified formula we can investigate many other problems.
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