均匀磁场中孤立波自旋方向的量子化
Quantization Of Spin Direction For Solitary Waves In A Uniform Magnetic Field
摘要：
已知存在具有局部孤立波解的非线性波方程。这些孤立波中的一些是稳定的（相对于初始数据的小扰动），并具有非零自旋（在动量系中心的非零内禀角动量）。本文研究了一类非线性Klein-Gordon方程的矢量值孤波解，并研究了在外加均匀磁场作用下这些自旋孤波的行为.我们发现，唯一的静态自旋孤立波解的自旋平行或反平行于磁场方向。
英文摘要：
It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data) and have nonzero spin (nonzero intrinsic angular momentum in the center of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have spin parallel or anti-parallel to the magnetic field direction.
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