Asymptotic form of the lattice Green's function of the square lattice

Annals of Physics - Tập 77 - Trang 206-215 - 1973
Shigetoshi Katsura1, Sakari Inawashiro1
1Department of Applied Physics, Tohoku University, Sendai, Japan

Tài liệu tham khảo

Koster, 1954, Theory of scattering in solids, Phys. Rev., 95, 1436, 10.1103/PhysRev.95.1436 Callaway, 1964, Theory of scattering in solids, J. Math. Phys., 5, 783, 10.1063/1.1704180 Boyd, 1965, Spin-wave-spin-wave scattering in a Heisenberg ferromagnet, Phys. Rev., 138A, 1621, 10.1103/PhysRev.138.A1621 Katsura, 1971, Lattice Green's function. Introduction, J. Math. Phys., 12, 892, 10.1063/1.1665662 Katsura, 1971, Lattice Green's functions for the rectangular and the square lattices at arbitrary points, J. Math. Phys., 12, 1622, 10.1063/1.1665785 Katsura, 1970, Asymptotic form of the lattice Green's function of the square lattice in the diagonal direction, Progr. Theoret. Phys., 47, 737, 10.1143/PTP.47.737 Kotera, 1963, Localized vibration and random walk, Progr. Theoret. Phys. Supple. No. 23, 141 Erdélyi, 1953, Vol. 2, 86 Y. Abe and S. Katsura, Lattice Green's function for the simple cubic and tetragonal lattices at arbitrary points, Ann. Phys., submitted for publication.