Electron scattering resonances using dilatation transformations. I. Condition for dilatational stability
- 28 April 1978
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 11 (8), 1475-1480
- https://doi.org/10.1088/0022-3700/11/8/018
Abstract
It is shown that the condition for a root to be invariant under a dilatation transformation (complex-coordinate rotation) is that it satisfies the complex virial theorem.Keywords
This publication has 10 references indexed in Scilit:
- Calculation of electron hydrogen scattering resonances by the coordinate-rotation methodThe European Physical Journal A, 1977
- A procedure for calculating resonance eigenvaluesJournal of Physics B: Atomic and Molecular Physics, 1975
- Low-energy-elastic cross sections using discrete basis functionsPhysical Review A, 1975
- Electron-hydrogen resonance calculation by the coordinate-rotation methodPhysical Review A, 1974
- Extraction of Scattering Information from Fredholm Determinants Calculated in anBasis: A Chebyschev Discretization of the ContinuumPhysical Review A, 1973
- 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
- Bounds for second-order optical properties from quantum-mechanical sum rules and the theory of momentsChemical Physics Letters, 1971
- Stabilization Method of Calculating Resonance Energies: Model ProblemPhysical Review A, 1970