Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices
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Publication:5622625
DOI10.1063/1.1665693zbMath0218.35017OpenAlexW2044197557MaRDI QIDQ5622625
Tohru Morita, Tsuyoshi Horiguchi
Publication date: 1971
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1665693
Related Items (16)
Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models ⋮ Sommerfeld-type integrals for discrete diffraction problems ⋮ Lattice Green's Function for the Orthorhombic Lattice in Terms of the Complete Elliptic Integral ⋮ A general method for calculating lattice green functions on the branch cut ⋮ Two-particle bound states on a lattice ⋮ Exact evaluation of the resistance in an infinite face-centered cubic network ⋮ On the exact evaluation of the face-centred cubic lattice Green function ⋮ Evaluation of integrals and the Mellin transform ⋮ Calculation of the complete elliptic integrals with complex modulus ⋮ Lattice Green's function for the face centered cubic lattice ⋮ Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems ⋮ A Green’s function for a cubic lattice ⋮ Convergence of the arithmetic-geometric mean procedure for the complex variables and the calculation of the complete elliptic integrals with complex modulus ⋮ Lattice Green's function for the simple cubic and tetragonal lattices at arbitrary points ⋮ PERTURBATION OF AN INFINITE NETWORK OF IDENTICAL CAPACITORS ⋮ Remarks on perturbation of infinite networks of identical resistors
Cites Work
- Numerical calculation of elliptic integrals and elliptic functions
- On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of Jacobi
- Lattice Green's Function. Introduction
- Lattice Green's Function for the Body-Centered Cubic Lattice
- Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
- Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type Integral
- The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal
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