Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems. (English) Zbl 1160.82350
Summary: A new, simple, and efficient technique for the accurate evaluation of the lattice Green functions is presented. Using binomial expansion theorems, these functions are expressed through the binomial coefficients and basic integrals. The extensive test calculations show that the proposed algorithm in this work is the most efficient method in practical computations. Finally, in order to show the practical use of analytical expressions found some computation examples and comparisons with literature are made.
MSC:
| 82D20 | Statistical mechanics of solids |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
Keywords:
body centered cubic lattice; anisotropic face centered cubic lattice; lattice Green’s functions; binomial coefficientsReferences:
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