A weighted Hilbert space for multiparticle scattering

DOI10.1016/0022-247X(79)90099-4zbMath0413.47005MaRDI QIDQ1260573

Clasine van Winter

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

weighted Hilbert spacesmooth operatorsmultiparticle scatteringn-body potential scattering

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (n)-body potential quantum scattering theory (81U10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Scattering theory of linear operators (47A40)

Cites Work

• Invariant subspaces of analytic multiparticle Hamiltonians
• Complex dynamical variables for multiparticle systems with analytic interactions. I
• Complex dynamical variables for multiparticle systems with analytic interactions. II
• Decomposition of many-body Schrödinger operators
• Wave operators and similarity for some non-selfadjoint operators
• Mathematical foundations of quantum scattering theory for multiparticle systems
• Smooth operators and commutators
• Fredholm Equations on a Hilbert Space of Analytic Functions
• Completeness of the wave operators in the repulsive N-body problem
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