聖塔非研究所

摘要 We consider 非線性 Dirac equations (NLDE's) in the 1

2012-10-24 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We consider 非線性 Dirac equations (NLDE's) in the 1+1 dimension with scalar scalar self interaction g(2)/kappa+1((Psi) over bar Psi)(kappa+1) in the presence of various external electromagn…

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  • 類型:已發表論文
  • 日期:2012-10-24

摘要

We consider 非線性 Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g(2)/kappa+1((Psi) over bar Psi)(kappa+1) in the presence of various external electromagnetic fields. We find exact solutions for special external fields and we study the behavior of solitary-wave solutions to the NLDE in the presence of a wide variety of fields in a variational approximation depending on collective coordinates which allows the position, width, and phase of these waves to vary in time. We find that in this approximation the position q(t) of the center of the solitary wave obeys the usual behavior of a relativistic point particle in an external field. For time-independent external fields, we find that the energy of the solitary wave is conserved but not the momentum, which beco

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