Resolvent Estimates for Non-Self-Adjoint Magnetic Schrödinger Operators

2018/05/04 by Bellis, Ben
#35P05 (Primary) 81Q12 #81Q20 (Secondary) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1805.01932

Abstract

We examine semiclassical magnetic Schrödinger operators with complex electric potentials. Under suitable conditions on the magnetic and electric potentials, we prove a resolvent estimate for spectral parameters in an unbounded parabolic neighborhood of the imaginary axis.

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