THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅰ)

In this paper, we have successfully solved the Eliashberg equation at T=Tc. The result is a series expression for the superconducting critical temperature: where a（μ）, a（μ） etc. depend upon μonly. Our new Tformula shows that Tis determined not only by λ<ω> and μbut also by the various moments <ω> of aF（ω）. This is the most important point to distinguish the Tformula of ours from those of others. Such a difference implies that the previous Tformulae, such as MeMillan’s and Allen and Dynes’, are not only approximate, but, above all, they can not be used to indicate correctly the influence of aF（ω） on T.