Zero-energy resonances and the flux -across-surfaces theorem

Abstract

The flux-across-surfaces conjecture represents a corner stone in quantum scattering theory because it is the key-assumption needed to prove the usual relation between differential cross section and scattering amplitude. We improve a recent result [TDMB] by proving the conjecture also in presence of zero-energy resonances or eigenvalues, both in point and potential scattering.

30 pages, no figures

References in corpus (1)

• The Flux-Across-Surfaces Theorem for a Point Interaction Hamiltonian

Cited by in corpus (3)

• Flux-Across-Surfaces Theorem for a Dirac Particle
• Scattering into Cones and Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic Approach
• Generalized Eigenfunctions for critical potentials with small perturbations