Remark on Itô's diffusion in multidimensional scattering with sign-indefinite potentials
DOI10.1007/S00023-012-0196-6zbMath1267.81152OpenAlexW2003665697MaRDI QIDQ1949814
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
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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