Open AccessA NOTE ON THE RADIUS OF CONVERGENCE OF THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE
Author(s) -
X. L. Lei
Publication year - 1980
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.29.1333
Subject(s) - radius of convergence , radius , series (stratigraphy) , convergence (economics) , superconductivity , inverse , inverse temperature , function (biology) , physics , spectral function , spectral radius , condensed matter physics , mathematical physics , mathematics , mathematical analysis , quantum mechanics , thermodynamics , power series , eigenvalues and eigenvectors , geometry , computer science , paleontology , computer security , evolutionary biology , economics , biology , economic growth
It is pointed out that zph≡F(-ωph-2 is generally a branch point of the inverse function of the function z=F(y)≡∫0(ωph)(ω2y)/(ω2y+1)g(ω)dω, where g(ω) is the normalized effective phonon spectral function of the system. There-fore it should be taken into account in evaluating the radius of convergence of the series for superconducting critical temperature of the system.