We study the semiclassical limit of the least energy solutions to the nonlinear Dirac equation. We prove that the equation has least energy solutions for all Ä§ > 0 small, and, in addition, that the solutions converge in a certain sense to the least energy solution of the associated limit problem as Ä§ → 0.
|Number of pages||26|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Publication status||Published - 2013 Jan 1|
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