Long range scattering for the two-body schrödinger Equation with "hörmander like" potentials

DOI10.1080/03605308608820421zbMath0588.47010OpenAlexW2005936384MaRDI QIDQ3715672

Monique Combescure

Publication date: 1986

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308608820421

zbMATH Keywords

asymptotic completenessexistence of modified wave operatorsquantum scattering problemtime dependent approachclassical orbit for the momentum-dependent long-range interactionoscillating long-range interactionpseudo-differential and Fourier integral operatorsscattering theory of non-relativistic two-body quantum systems

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40)

Related Items (2)

On long-range scattering ⋮ Long-range one-particle scattering in a homogeneous magnetic field

Cites Work

• Unnamed Item
• Unnamed Item
• Propagation properties of quantum scattering states
• Micro-local resolvent estimates for 2-body Schrödinger operators
• The surfboard Schrödinger equations
• Spectral and scattering theory for a class of strongly oscillating potentials
• A scattering theory for time-dependent long-range potentials
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• The existence of wave operators in scattering theory
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials
• Spectral properties of vaguely elliptic pseudodifferential operators with momentum-dependent long-range potentials using time-dependent scattering theory

This page was built for publication: Long range scattering for the two-body schrödinger Equation with "hörmander like" potentials