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物理学报. 1994, 43(10): 1677-1687.
doi: 10.7498/aps.43.1677.
带有次近邻相互作用的非谐性线性链中亚声速和超声速孤子
- 收稿日期: 1993-10-16
- 刊出日期: 1994-10-20
摘要: 基于相干态方法，在次近邻相互作用近似下研究了非谐性线性链中电子与声学晶格振动之间相互作用所引起的非线性效应，采用自治地处理运动方程的连续极限，立方非谐性形变势导致新的电子概率幅的非线性方程，并由此给出新的超椭圆积分形式的孤波解。证明除了通常的钟形孤子外，还存在另一种带有扭结状的孤波激发。
English Abstract
SUBSONIC AND SUPERSONIC SOLITONS IN AN ANHARMONIC LINEAR CHAINS WITH SECOND-NEIGHBOUR INTERACTION
- Received Date:
16 October 1993
- Published Online:
20 October 1994
Abstract: Based on the method of coherent states, the nonlinear effects caused by the interaction between electrons and acoustic lattice vibrations in an anharmonic linear chains are investigated in the secolid-neighbour interaction approximation. While the continous limits of the equations of motion is considered self -consistently, the cubic anharmonicity of the deformable potential leads to a new nonlinear equation for the electronic orobability amolitute, which gives a new solitary solution in the form of hyperelliptic integral. This shows that besides the bell-solitons there also exists a second type of solitary excitation with the shape of a kink.
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