Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral

DOI10.1063/1.1665692zbMath0218.35016OpenAlexW2021306498MaRDI QIDQ5622624

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/10.1063/1.1665692

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (15)

Paramagnetic susceptibility and correlation functions of a \(d\)-dimensional classical Heisenberg ferromagnet via the two-time Green function method ⋮ Spin-wave theory in a randomly disordered lattice: a Heisenberg ferromagnet ⋮ Sommerfeld-type integrals for discrete diffraction problems ⋮ Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices ⋮ Lattice Green's Functions for the Rectangular and the Square Lattices at Arbitrary Points ⋮ Lattice Green's Function for the Orthorhombic Lattice in Terms of the Complete Elliptic Integral ⋮ On the numerical calculations of the density of states in tight-binding approximation ⋮ Critical line of the \(\Phi^4\) theory on a simple cubic lattice in the local potential approximation ⋮ Bond percolation in two and three dimensions: numerical evaluation of time-dependent transport properties. ⋮ Evaluation of integrals and the Mellin transform ⋮ Lattice Green's function for the diamond lattice ⋮ Calculation of the complete elliptic integrals with complex modulus ⋮ Lattice Green's function for the face centered 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

Cites Work

• Lattice Green's Function. Introduction
• Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type Integral

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