Inverse and Algebraic Quantum Scattering Theory
Proceedings of a Conference Held at Lake Balaton, Hungary, 3–7 September 1996
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Book and Conference Proceedings
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Chapter and Conference Paper
The inverse scattering problem for coupled channels with the modified newton-sabatier method
The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrödinger equations are assumed to depend on a potential matrix which coupl...
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Chapter and Conference Paper
Fixed-energy inversion of polarisation-corrected electron-atom scattering phase-shifts into effective potentials
The modified Newton-Sabatier method is applied to invert electronatom scattering phase-shifts into effective potentials. The phase-shifts are corrected for the dipole polarisation interaction of the form −α/2r ...
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Chapter and Conference Paper
Modified symmetry generators for SO(3, 2) and algebraic scattering theory
Based on a realization found previously for the Lie-algebra of the group SO(3, 1) a new realization for the SO(3, 2) algebra is presented. The symmetry generators are matrix-valued differential operators. The mat...
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Chapter and Conference Paper
The Inverse Scattering Problem for Coupled Channels with the Modified Newton-Sabatier Method
The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrödinger equations are assumed to depend on a potential matrix which coupl...
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Chapter and Conference Paper
Fixed-Energy Inversion of Polarisation-Corrected Electron-Atom Scattering Phase-Shifts into Effective Potentials
The modified Newton-Sabatier method is applied to invert electron-atom scattering phase-shifts into effective potentials. The phase-shifts are corrected for the dipole polarisation interaction of the form −α/2r ...
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Chapter and Conference Paper
Modified Symmetry Generators for SO(3, 2) and Algebraic Scattering Theory
Based on a realization found previously for the Lie-algebra of the group SO(3, 1) a new realization for the SO(3, 2) algebra is presented. The symmetry generators are matrix-valued differential operators. The mat...
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Chapter
Energy Dependence of the Inverted Scattering Potentials of the 12 C + 12 C System in the Range E cm = 8–12 MeV
The quantum inverse scattering problem at fixed energy1 is solved in two steps. First the elastic differential scattering cross section is analysed by a minimization procedure2 to obtain a set of phase shifts. Th...
