A note on eigenvalue bounds for Schr\"odinger operators
classification
🧮 math.AP
keywords
odingerschrboundboundscomplex-valuedeigenvalueeigenvaluesestimate
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We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schr\"odinger operator with complex-valued potentials by obtaining a weighted $L^2$ estimate for the resolvent of the Laplacian.
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