Dilation-analyticity and decay properties of interactions

DOI10.1007/BF01646191zbMath0281.35080MaRDI QIDQ1843740

Erik Balslev, Donald G. Babbitt

Publication date: 1974

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

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (4)

Mathematical Theory of Single Channel Systems. Analyticity of Scattering Matrix ⋮ A characterization of dilation-analytic potentials and vectors ⋮ Absence of positive eigenvalues of Schrödinger operators ⋮ On the point spectrum of the Schrödinger operators of multiparticle systems

Cites Work

• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

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