ol v - in t / 9 71 00 03 v 1 7 O ct 1 99 7 Shock waves in one - dimensional Heisenberg ferromagnets
نویسندگان
چکیده
We use the SU (2) coherent state path integral formulation with the stationary phase approximation to investigate, both analytically and numerically, the existence of shock waves in the one-dimensional Heisenberg ferromagnets with anisotropic exchange interaction. As a result we show the existence of shock waves of two types, " bright " and " dark " , which can be interpreted as moving magnetic domains.
منابع مشابه
ar X iv : s ol v - in t / 9 71 00 04 v 1 7 O ct 1 99 7 México ICN - UNAM 97 - 12 Two - body
Two Lie algebraic forms of the 2-body Elliptic Calogero model are presented. Translation-invariant and dilatation-invariant discretizations of the model are obtained.
متن کاملar X iv : s ol v - in t / 9 71 00 15 v 1 2 1 O ct 1 99 7 Hidden quantum R - matrix in discrete time classical Heisenberg magnet
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. Hirota's bilinear formalism is extensively used. The construction generalizes the known representation of M...
متن کاملar X iv : s ol v - in t / 9 71 00 19 v 1 2 3 O ct 1 99 7 D - MODULES AND DARBOUX TRANSFORMATIONS
A method of G. Wilson for generating commutative algebras of ordinary differential operators is extended to higher dimensions. Our construction, based on the theory of D-modules, leads to a new class of examples of commutative rings of partial differential operators with rational spectral varieties. As an application, we briefly discuss their link to the bispectral problem and to the theory of ...
متن کاملar X iv : s ol v - in t / 9 60 40 03 v 1 1 7 A pr 1 99 6
The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimensions. Using a special realization (an algebra of the Kac-Moody type) of the arising incomplete prolongation Lie algebra, a whole family of nonlinear field equations containing the original Heisenberg system is generated. 1 1. In the study of nonlinear field...
متن کاملar X iv : g r - qc / 9 90 90 19 v 2 7 S ep 1 99 9 Riemannian conical 2 - D geometry of Heisenberg ferromagnets
An exact 2-dimensional conical Riemannian defect solution of 3-dimensional Euclidean Einstein equations of stresses and defects representing a shear-free Heisenberg ferromagnet is given.The system is equivalent to the Einstein equations in vacuum.Geodesics of magnetic monopoles around the ferromagnet are also investigated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997