Abstract stationary theory of multichannel scattering

DOI10.1016/0022-1236(76)90012-4zbMATH Open0327.47004OpenAlexW2072937723MaRDI QIDQ1226287

James S. Howland

Publication date: 1976

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90012-4

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Cites Work

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• Wave operators and similarity for some non-selfadjoint operators
• Scattering theory with two Hilbert spaces
• Lower bounds for solutions of Schrödinger equations
• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• The abstract theory of scattering
• On the existence and the unitary property of the scattering operator
• Wave operators in multichannel scattering
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• On positive eigenvalues of one‐body schrödinger operators
• Smooth operators and commutators
• Theory of Simple Scattering and Eigenfunction Expansions
• Completeness of the wave operators in the repulsive N-body problem
• COMPLEX FOURIER--BESSEL TRANSFORMS
• Fundamental Properties of Hamiltonian Operators of Schrodinger Type

Related Items (13)

N-body quantum scattering theory in two Hilbert spaces. IV. Approximate equations ⋮ Title not available (Why is that?) ⋮ Born series for (2 cluster) \(\Delta\) (2 cluster) scattering of two, three, and four particle Schrödinger operators ⋮ A multi-channel scattering theory for some time dependent Hamiltonians, charge transfer problem ⋮ Existence and analyticity of many-body scattering amplitudes at low energies ⋮ Analytic scattering theory for many-body systems below the smallest three-body threshold ⋮ Pole term decomposition of the resolvent kernel in Fredholm’s form ⋮ The unitarity relations for the four-body scattering amplitude ⋮ Title not available (Why is that?) ⋮ Asymptotic completeness for a class of four particle Schrödinger operators ⋮ Resonances in three-body scattering theory ⋮ Perturbations of −Δ that grow at infinity in certain directions ⋮ Asymptotic completeness of certain four-body Schrödinger operators

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