Resonance calculations for arbitrary potentials
- 1 November 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 18 (5) , 1816-1825
- https://doi.org/10.1103/physreva.18.1816
Abstract
On the basis of model calculations, we argue heuristically that the dilatation-transformation method is applicable to all potentials, even those that are not dilatation analytic. In particular, we show that resonances are converted into bound (localized) states on the nonphysical sheet of the complex energy plane under the action of a dilatation transformation.Keywords
This publication has 11 references indexed in Scilit:
- Evidence for a Resonance in-H-Wave ScatteringPhysical Review Letters, 1978
- Continuum orbitals, complex scaling problem, and the extended virial theoremPhysical Review A, 1977
- Intense Field Multiphoton Ionization via Complex Dressed States: Application to the H AtomPhysical Review Letters, 1977
- Calculation of electron hydrogen scattering resonances by the coordinate-rotation methodThe European Physical Journal A, 1977
- Method of complex coordinates: Application to the stark effect in hydrogenInternational Journal of Quantum Chemistry, 1976
- A procedure for calculating resonance eigenvaluesJournal of Physics B: Atomic and Molecular Physics, 1975
- Electron-hydrogen resonance calculation by the coordinate-rotation methodPhysical Review A, 1974
- Resonances in n-Body Quantum Systems With Dilatation Analytic Potentials and the Foundations of Time-Dependent Perturbation TheoryAnnals of Mathematics, 1973
- On bound states in the continuum of N-body systems and the virial theoremAnnals of Physics, 1972
- Spectral properties of many-body Schrödinger operators with dilatation-analytic interactionsCommunications in Mathematical Physics, 1971