Nonlinear Dirac soliton in an external field
Nonlinear Dirac soliton in an external field
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DOI：
10.1088/0305-4470/28/5/025
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发表时间：
1995-03
期刊：
影响因子：
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通讯作者：
Y. Nogami;F. M. Toyama;Z. Zhao
中科院分区：
文献类型：
--
作者：
Y. Nogami;F. M. Toyama;Z. Zhao
本文用集体变量法和数值求解非线性Dirac方程的方法研究了1+1维非线性Dirac孤子在外势场中的行为。当势函数与坐标x成线性关系时，孤子质心的运动符合经典的相对论运动方程。对于一般势，存在着与相应经典点粒子行为的偏离。这种偏离可以解释为是由孤子的有限尺寸引起的。
The behaviour of the nonlinear Dirac soliton in an external potential in 1+1 dimensions is examined by means of a collective variable ansatz and also by solving the nonlinear Dirac equation numerically. When the potential is linear with respect to coordinate x, the motion of the soliton centroid is found to be consistent with the classical relativistic equation of motion for a point particle. For a general potential there is a deviation from the behaviour of the corresponding classical point particle. This deviation can be interpreted as being caused by the finite size of the soliton.