Remark on Itô's diffusion in multidimensional scattering with sign-indefinite potentials

DOI10.1007/S00023-012-0196-6zbMath1267.81152OpenAlexW2003665697MaRDI QIDQ1949814

Sergey A. Denisov

Publication date: 17 May 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-012-0196-6

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• Sum rules for Jacobi matrices and their applications to spectral theory
• Scattering theory: some old and new problems
• A Szegő condition for a multidimensional Schrödinger operator
• Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials
• On the preservation of absolutely continuous spectrum for Schrödinger operators
• Schrödinger operators and associated hyperbolic pencils
• Ito Diffusions, Modified Capacity, and Harmonic Measure. Applications to Schrodinger Operators
• Stochastic differential equations. An introduction with applications.
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