Decomposition of many-body Schrödinger operators

DOI10.1007/BF01625780zbMath0352.35038OpenAlexW2011312799MaRDI QIDQ1235835

Erik Balslev

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01625780

Mathematics Subject Classification ID

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

Related Items (12)

Unnamed Item ⋮ Born series for (2 cluster) \(\Delta\) (2 cluster) scattering of two, three, and four particle Schrödinger operators ⋮ Analytic scattering theory for many-body systems below the smallest three-body threshold ⋮ Temporal exponential decay for the Stark effect in atoms ⋮ Decomposition of many-body Schrödinger operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A weighted Hilbert space for multiparticle scattering ⋮ The resolvent of a dilation-analytic three-particle system ⋮ Semigroups associated with analytic Schrödinger operators ⋮ Groups generated by analytic Schrödinger operators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant subspaces of analytic multiparticle Hamiltonians
• A characterization of dilation-analytic potentials and vectors
• Complex dynamical variables for multiparticle systems with analytic interactions. I
• Decomposition of many-body Schrödinger operators
• Wave operators and similarity for some non-selfadjoint operators
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Quadratic form techniques and the Balslev-Combes theorem

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