Semiclassical solutions for a class of Schrödinger system with magnetic potentials

This paper is concerned with the following nonlinear Schrödinger system with magnetic potentials{(−iε∇+A(x))2u+V(x)u=Hu(x,u,v),x∈RN,(−iε∇+A(x))2v+V(x)v=−Hv(x,u,v),x∈RN, where N⩾3N⩾3, ε   is a small parameter, A:RN→RNA:RN→RN is the magnetic vector potential and V:RN→RV:RN→R is the electric potential. By applying generalized linking theorems for strongly indefinite functionals, we establish the existence and multiplicity of semiclassical solutions for superquadratic and subcritical nonlinearity.