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原文連結
論文資訊
- 類型：已發表論文
- 日期：2010
摘要
We consider the 非線性 Dirac equations (NLDE's) in 1 + 1 dimension with scalar- scalar self interaction g(2)/k+1((Psi) over bar Psi)(k+1), as well as a vector- vector self interaction g(2)/k+1((Psi) over bar gamma(mu)Psi(Psi) over bar gamma(omega Psi))(k+1). We find the exact analytic form for solitary waves for arbitrary k and find that they are a generalization of the exact solutions for the 非線性 Schrodinger equation (NLSE) and reduce to these solutions in a well defined nonrelativistic limit. We perform the nonrelativistic reduction and find the 1/2m correction to the NLSE, valid when vertical bar omega-m vertical bar << 2m, where omega is the frequency of the solitary wave in the rest frame. We discuss the stability and blowup of solitary waves assuming the modified NLSE is valid and find
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