Schrödinger operators with highly singular, oscillating potentials

DOI10.1007/BF02567767zbMath0767.35054MaRDI QIDQ1803004

Karl-Theodor Sturm

Publication date: 29 June 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155760

zbMATH Keywords

Feynman-Kac semigroupquick oscillationsannihilations of the singularities

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) (2)-body potential quantum scattering theory (81U05)

Related Items (4)

Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Harnack's inequality for parabolic operators with singular low order terms ⋮ The linear heat equation with highly oscillating potential ⋮ The Schrödinger operator on the energy space: Boundedness and compactness criteria

Cites Work

• Schrödinger semigroups
• The uncertainty principle
• Étude de l'équation de la chaleur $\Delta u=c(M)u(M)$, $c(M)\ge0$, au voisinage d'un point singulier du coefficient
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