The flux-across-surfaces theorem for short range potentials and wave functions without energy cutoffs

DOI10.1063/1.532840zbMath1057.81558OpenAlexW1980250556MaRDI QIDQ4701826

K. Münch-Berndl, Stefan Teufel, Detlef Dürr

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532840

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (5)

Scattering into cones and flux across surfaces in quantum mechanics: A pathwise probabilistic approach ⋮ A microscopic derivation of the quantum mechanical formal scattering cross section ⋮ Generalized eigenfunctions for Dirac operators near criticality ⋮ On dynamical justification of quantum scattering cross section ⋮ On the quantum mechanical scattering statistics of many particles

Cites Work

• Spectral properties of Schrödinger operators and time-decay of the wave functions
• On the quantum probability flux through surfaces.
• On the flux-across-surfaces theorem
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• The born expansion in non-relativistic quantum theory
• Decay estimates for Schrödinger operators
• Flux and scattering into cones for long range and singular potentials
• The expansion of arbitrary functions in terms of eigenfunctions of the operator -Δ𝑢+𝑐𝑢
• The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators

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