A partial inner product space of analytic functions for resonances
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Publication:3671686
DOI10.1063/1.525761zbMath0521.46017OpenAlexW1972936144MaRDI QIDQ3671686
E. Katznelson, Lawrence P. Horwitz
Publication date: 1983
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525761
partial inner product spaceresonancesMellin transformsstationary pointunstable statesanalytic function spacesdilatation analyticitydual pair of spaces of analytic functionsgeneralized eigenfunction of the HamiltonianHardy class functions
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Related Items (2)
Representations for the three-body \(T\)-matrix on nonphysical sheets. I ⋮ Perturbation of resonances in quantum mechanics
Cites Work
- Complex dynamical variables for multiparticle systems with analytic interactions. I
- Partial inner product spaces. I: General properties
- The decay-scattering system
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
- A variational principle for resonances
- Resonances, scattering theory, and rigged Hilbert spaces
- Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals
- Nested Hilbert Spaces in Quantum Mechanics. I
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