Apagyi / Endredi / Levay Inverse and Algebraic Quantum Scattering Theory

Proceedings of a Conference Held at Lake Balaton, Hungary, 3–7 September 1996
Erscheinungsjahr 2013
ISBN: 978-3-662-14145-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 488, 388 Seiten, eBook

Reihe: Lecture Notes in Physics

This volume contains three interrelated, beautiful, and useful topics of quantum scattering theory: inverse scattering theory, algebraic scattering theory and supersymmetrical quantum mechanics. The contributions cover such issues as coupled-channel inversions at fixed energy, inversion of pion-nucleon scattering cross-sections into potentials, inversions in neutron and x-ray reflection, 3-dimensional fixed-energy inversion, inversion of electron scattering data affected by dipole polarization, nucleon-nucleon potentials by inversion versus meson-exchange theory, potential reversal and reflectionless impurities in periodic structures, quantum design in spectral, scattering, and decay control, solution hierarchy of Toda lattices, etc.

Zielgruppe

Research

Autoren/Hrsg.

Apagyi, Barnabas

Endredi, Gabor

Levay, Peter

Inhaltsverzeichnis

New inverse spectral problem and its application.- Inverse problem on the entire line and some connected questions of spectral theory.- Qualitative physics in spectral, scattering and decay control.- Ambiguities in inversion potentials for light nuclear ion scattering.- Coupled-channel marchenko inversion in one dimension with thresholds.- One-dimensional inversion in neutron and X-ray reflection.- Non-standard information in optical model analyses.- Numerical method for solving the inverse problem of quantum scattering theory.- The inverse scattering problem for coupled channels with the modified newton-sabatier method.- Energy-dependent potentials obtained by IP inversion.- Modeling of nucleon-nucleon potentials, quantum inversion versus meson exchange pictures.- Inversion potentials for meson-nucleon and meson-meson interactions.- Fixed-energy inversion of polarisation-corrected electron-atom scattering phase-shifts into effective potentials.- Pion nucleus interaction from inverse scattering theory and a test of charge symmetry.- NN potentials with explicit momentum dependence obtained from generalized darboux transformations.- Unitarity and the scattering phase shifts for inversion studies.- Potential reversal and reflectionless impurities in periodic structures.- The method of the weakly conjugate operator.- Solutions to the hierarchy of the periodic toda lattices.- Spectrum generating algebras and dynamic symmetries in scattering.- Algebraic coupled-channels formalism for heavy ions near the coulomb barrier.- Algebraic scattering theory and light heavy-ion reactions.- Geometrical relation of the SACM.- Phase-equivalent complex potentials.- Exactly solvable models for two-dimensional quantum systems.- Exactly solvable quantum models for investigation of nonadiabatic transitions.- Modified symmetry generators for SO(3, 2) and algebraic scattering theory.- Analytical results on generating phase-equivalent potentials by supersymmetry: Removal and addition of bound states.- Multidimensional inverse scattering with fixed-energy data.