Finite total cross-sections in nonrelativistic quantum mechanics

DOI10.1007/BF01212825zbMath0471.35065OpenAlexW2095581401MaRDI QIDQ1157476

Volker Enss, Barry Simon

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01212825

zbMATH Keywords

Coulomb scatteringtotal cross-sectionstwo cluster scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05)

Related Items (24)

Unnamed Item ⋮ Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials ⋮ Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits ⋮ Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes ⋮ Energy dependence of the scattering operator. II ⋮ On the flux-across-surfaces theorem ⋮ Unnamed Item ⋮ The quantum scattering amplitude in Rn for potentials decreasing faster than ‖x‖−(n+1)/2 ⋮ Energy dependence of the scattering operator ⋮ Spectral properties of the scattering matrix ⋮ On dynamical justification of quantum scattering cross section ⋮ Structures of S-matrices for three body Schrödinger operators ⋮ Semi-classical bounds on scattering cross sections in two dimensional magnetic fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Phase analysis in the problem of scattering by a radial potential ⋮ Unnamed Item ⋮ Total cross sections in \(N\)-body problems: Finiteness and high energy asymptotics ⋮ Unnamed Item ⋮ Resonance scattering on a negative potential ⋮ High-energy behavior of total scattering cross sections for 3-body quantum systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quasi-classical limit of quantum scattering theory
• The existence of wave operators in scattering theory
• On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Scattering and local absorption for the Schrödinger operator
• Wave operators for the Schrödinger equation with strongly singular short-range potentials
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Geometric methods in multiparticle quantum systems
• Møller operators for scattering on singular potentials
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Eigenfunction expansions associated with Schrödinger operators in \(R_ n, n\geq 4\)
• Spectral and scattering theory for Schrödinger operators
• Time decay and the Born series
• The born expansion in non-relativistic quantum theory
• Birman–Schwinger bounds for the Laplacian with point interactions
• The asymptotic eigenvalue distribution for non-smooth elliptic operators
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• Perturbations of the Schrödinger equation by potentials with small support

This page was built for publication: Finite total cross-sections in nonrelativistic quantum mechanics