Lattice Green's Function for the Simple Cubic Lattice
スポンサーリンク
概要
- 論文の詳細を見る
The lattice Green's function of the simple cubic lattice G_<sc>(t;l, m, n)=1/(π^3)∫^π_0dx∫^π_0dy∫^π_0dz(cos lx cos my cos nz)/(t-cos x-cos y-cos z) is considered for the following ranges of the parameters; t=s-iε, -∞<s<∞, 0<__-l+m+n<__-5. The function G_<sc>(t;l, 0, 0) along an axis is expressed as a sum of simple integrals of the complete elliptic integral of the first kind and the integrals are evaluated numerically. The function G_<sc>(t;l, m, n) at a general position (l, m, n) is calculated with the aid of the recurrence formula which is satisfied by the Green's function. The behaviors of the function G_<sc>(t;l, m, n) are shown by figures. Discussions of the divergent behavior of the derivative of G_<sc>(t;l, 0, 0) with respect to s, are given at the singular points, s=0, 1 and 3.
- 社団法人日本物理学会の論文
- 1971-05-05
著者
-
Horiguchi Tsuyoshi
Department Of Applied Science Faculty Of Engineering Tohoku University
-
Horiguchi Tsuyoshi
Department Of Physics Faculty Of Science Tohoku University
関連論文
- Critical Properties of a Spin_3/2Ising Model on a Square Lattice
- Spin Models for Packet Routing Control in Computer Networks
- Complex Networks by Non-growing Model with Preferential Rewiring Process(Cross-disciplinary Physics and Related Areas of Science and Technology)
- Sequence Processing Neural Network with Q-States Monotonic Transfer Function
- Ordering of a Frustrated Spin S Ising Model as a Roughening Transition in SOS Model
- Numerical Simulations for Two-Dimensional Traffic-Flow Problem
- Calculation of the Electronic Density of States and the Electric Conductivity of Random Alloys in the Coherent potential Approximation
- Pseudo-Temperature Monte Carlo Simulation for Ground State of Antiferromagnetic Spin-S Ising Model on Triangular Lattice
- Spin-3/2 Ising Model and Ashkin-Teller Model
- Dynamical Neural Network Model of Hippocampus with Excitatory and Inhibitory Neurons (Cross-disciplinary Physics and Related Areas of Science and Technology)
- Noise Effect on Memory Recall in Dynamical Neural Network Model of Hippocampus
- Coherent-Anomaly Analysis with Cluster Variation Method for Two-Dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions
- Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice
- Coherent-Anomaly Analysis with Cluster Variation Method for Spin-Pair Correlation Function of Ising Model on Square Lattice
- Coherent-Anomaly Method for the Wave-Number Dependence of the Susceptibility
- Low Temperature Properties of One-Dimensional Classical XY Model with Frustration
- Synchronous Phenomena of Neural Network Models Using Hindmarsh–Rose Equation
- Numerical Simulations for Traffic Flow in Two-Dimensional Network with Obstacles
- Unsupervised Image Segmentation Based on Bethe Approximation
- Generalization Ability of Hopfield Neural Network with Spin-S Ising Neurons : General Physics
- Low-Temperature Behaviors of Antiferromagnetic Ising Model of Infinite-Spin on Triangular Lattice
- Finite Temperature Properties of One-Dimensional Chiral XY-model
- Phase Diagrams of Spin-3/2 Ising Model on a Square Lattice in Terms of Corner Transfer Matrix Renormalization Group Method
- Low-Temperature Properties of Infinite-Spin Ising Model in One-Dimensional Lattice
- Tetradics Formulation of the Two-Time Green's Function Method and Its Application to the Heisenberg Ferromagnet
- Ising Model in Correlated Random Fields on Kagome Lattice
- Sequence Processing Neural Network with a Non-Monotonic Transfer Function : General Physics
- An Extension of Perron-Frobenius Theorem for Positive Symmetric Matrices
- Ising Model with Even-Bonds Plaquettes on the Square Lattice
- Ground State Properties of One-Dimensional Quantum Chiral XY -model
- Self-Organization in Four-Direction Traffic-Flow Model : Cross-Disciplinary Physics
- Temperature Dependence of the Spin-Pair Correlation Functions for the Heisenberg Antiferromagnet and the NMR Line Width of F^ in RbMnF_3 in the Paramagnetic Region
- Formulas for the Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
- Phase Transition in a Four-Direction Traffic Flow Model on a Two-Dimensional Network
- Models of MT and MST areas using wake-sleep algorithm
- Da Costa-Nobre-Yokoi Model with Spin S
- On-Line Learning of Two-Layered Neural Network with Randomly Diluted Connections
- Ghatak-Sherrington Model with Spin S
- First Order Green Function Theory of Ferromagnetism
- Color Image Compression Algorithm Using Self-Organizing Feature Map
- Dynamical Properties of the Diluted Heisenberg and XY Magnets at Infinite Temperature. I : Spin Diffusion Constant
- Low-and High-Temperature Behaviors of Ferromagnetic Ising Model of Infinite-Spin
- Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice
- Optimal Network Structure for Packet Flow in Shortest-Path Routing Control Model
- Universality Class for Spin Model With Generalized Ising Spin on One-Dimensional Lattice : Progress Letters
- Note on the Susceptibility of the Two-Dimensional Heisenberg Ferromagnet
- Probabilistic, Iterated and Quantum-Iterated Computational Methods in Gray-Level Image Restoration
- Lattice Green's Function for the Simple Cubic Lattice
- Optimal Network Structure for Packet Flow in Shortest-Path Routing Control Model
- Spin Models for Packet Routing Control in Computer Networks
- Fully Frustrated Ising Model on a Square Lattice