A unified treatment of the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice


Guseinov I. I. , Mamedov B. A.

PHILOSOPHICAL MAGAZINE, cilt.87, ss.1107-1112, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 87 Konu: 7
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/14786430601023799
  • Dergi Adı: PHILOSOPHICAL MAGAZINE
  • Sayfa Sayıları: ss.1107-1112

Özet

Using multinomial expansion theorems, a unified approximation for the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice is presented. The validity of this approximation is tested by other calculation methods. The approximate formulas derived are satisfactory to all other approximations and are a most suitable solution for the study of related physical properties of solids. Some examples of the effectiveness of this methodology are presented.