Topological Methods in Nonlinear Analysis · 1998 · 657 citations · 1 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsQuantum MechanicsEigenvalue ProblemsElectromagnetic WavesMaxwell's EquationsScattering ProblemsSchrödinger EquationSpectral TheoryEigenfunction ExpansionsEigenmode AnalysisEigenvalue ComputationNonlinear Eigenvalue ProblemsNonlinear Spectral Problems
In this paper we study the eigenvalue problem for the Schrödinger operator coupled with the electromagnetic field E, H. The case in which the electromagnetic field is given has been mainly considered ([1]–[3]). Here we do not assume that the electromagnetic field is assigned, then we
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Schr�dinger operators with magnetic fields
J. E. Avron, Ira Herbst, Barry Simon · Communications in Mathematical Physics · 1981 · 308 citations