Exact solutions for extended waves in 1d anharmonic lattices

被引：0

作者：

Fischer, F ^{[1
]}

机构：

[1] Univ Munster, Inst Phys, D-48149 Munster, Germany

来源：

ANNALEN DER PHYSIK | 2001年 / 10卷 / 09期

关键词：

nonlinear lattice dynamics; exact solutions; inverse method;

D O I：

10.1002/1521-3889(200109)10:9<777::AID-ANDP777>3.0.CO;2-W

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A cyclic chain of n equal classic particles coupled by anharmonic forces has a set of extended vibrational modes, for which exact solutions are given. This requires for the power law of the forces certain conditions to be fulfilled. Each mode is characterized by a wave number and the undulations of the particles depend on the total energy and on a new constant of motion that formally expresses a kind of angular momentum. Exact solutions for n=7 with a twelfth power potential are discussed.

引用

页码：777 / 793

页数：17

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