Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field

초록

We show the existence of standing wave solutions to the Schrodinger equation coupled with a neutral scalar field. We also verify the Chern-Simons limit for these solutions. More precisely we prove that solutions to Eqs. (1.3)-(1.4) converge to the unique positive radially symmetric solution of the nonlinear Schrodinger equation (1.6) as the coupling constant q goes to infinity. (C) 2013 Elsevier Inc. All rights reserved.

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