Lattice Green's Function. Introduction
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Publication:5179710
DOI10.1063/1.1665662zbMath0272.33006OpenAlexW2003814057MaRDI QIDQ5179710
Yoshihiko Abe, Tohru Morita, Tsuyoshi Horiguchi, Sakari Inawashiro, Shigetoshi Katsura
Publication date: 1971
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1665662
Related Items (31)
Exact results for the anisotropic honeycomb lattice Green function with applications to three-step Pearson random walks ⋮ Analytic properties for the honeycomb lattice Green function at the origin ⋮ Sommerfeld-type integrals for discrete diffraction problems ⋮ Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral ⋮ Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices ⋮ The controllability Gramian of lattice graphs ⋮ Lattice Green's Functions for the Rectangular and the Square Lattices at Arbitrary Points ⋮ On the Cauchy-Born approximation at finite temperature for alloys ⋮ Network with two extra interstitial resistors ⋮ Asymptotics of parabolic Green’s functions on lattices ⋮ Lattice Green/Neumann function for the 2D Laplacian operator defined on square lattice on cylinders, tori and other geometries with some applications ⋮ Directional mechanical response in the bulk of topological metamaterials ⋮ Exact results for the diamond lattice Green function with applications to uniform random walks in a plane ⋮ Time history kernel functions for square lattice ⋮ Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type Integral ⋮ Critical line of the \(\Phi^4\) theory on a simple cubic lattice in the local potential approximation ⋮ Two-particle lattice Green functions on a two-dimensional rectangular lattice with next-nearest neighbor hopping ⋮ On the exact evaluation of the face-centred cubic lattice Green function ⋮ On the Green function for the anisotropic simple cubic lattice. ⋮ Hierarchical reference theory of fluids: application to three-dimensional Ising model ⋮ Resistances between two nodes of a path network ⋮ Lattice Green's function for the diamond lattice ⋮ Lattice Green's function for the face centered cubic lattice ⋮ Dynamics of steps along a martensitic phase boundary. II: Numerical simulations ⋮ Recursive calculation of effective resistances in distance-regular networks based on Bose–Mesner algebra and Christoffel–Darboux identity ⋮ On the evaluation of lattice Green functions and Watson-like integrals ⋮ Lattice Green's function for the simple cubic and tetragonal lattices at arbitrary points ⋮ Asymptotic form of the lattice Green's function of the square lattice ⋮ Self-consistent Ornstein-Zernike approximation for three-dimensional spins ⋮ On the fully anisotropic honeycomb lattice Green function, Bessel function integrals and Pearson random walks ⋮ Spanning tree generating functions for infinite periodic graphs L and connections with simple closed random walks on L
Cites Work
- Lattice Green's Function for the Simple Cubic Lattice
- Lattice Green's Function for the Body-Centered Cubic Lattice
- Spin-Wave Impurity States in Ferromagnets
- Scattering of phonons from a substitutional impurity
- Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type Integral
- THREE TRIPLE INTEGRALS
- The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal
- Tabulation of an integral arising in the theory of cooperative phenomena
- Simplified Impurity Calculation
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