On the dynamics of the classical transverse field Ising chain

[摘要] We investigate stationary and travelling; wave solutions of a special lattice differential equation in one space dimension. Depending On a parameter lambda. results are given on the existence. shape and stability for these kind of solutions. The analysis of travelling wave solutions leads us to a functional differential equation with both forward and backward shifts. The existence of solutions of this equation will be proved by use of the implicit function theorem. In particular. we consider kink solutions and periodic solutions. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-09-01

[关键词] Ising model;lattice differential equations;functional differential equations;implicit function theorem;spectral stability