On-diagonal singularities of the Green functions for Schroedinger operators

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dc.creatorBruening, Jochen
dc.creatorGeyler, Vladimir
dc.creatorPankrashkin, Konstantin
dc.date2004-11-26
dc.date2005-05-26
dc.date.accessioned2026-07-07T06:26:58Z
dc.date.available2026-07-07T06:26:58Z
dc.descriptionWe investigate the behavior of the Green functions of Schroedinger operators near the diagonal. The only non-trivial cases, where the on-diagonal singularities are non-zero and do not depend on the spectral parameter, are two and three dimensions. In the case of two dimensions, we show that the singularity is independent of both the scalar and the gauge potentials. In dimension three, we obtain conditions for preserving the singularity under perturbations by non-regular potentials. Some examples illustrating dependence of the singularity on general scalar and gauge potentials are presented.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0411078
dc.identifierhttp://arxiv.org/abs/math-ph/0411078
dc.identifierJ.Math.Phys. 46 (2005) 113508
dc.identifierdoi:10.1063/1.2113087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97278
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleOn-diagonal singularities of the Green functions for Schroedinger operators
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