Inverse and Algebraic Quantum Scattering Theory: Proceedings of a Conference Held at Lake Balaton, Hungary, 3-7 September 1997

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07/1997 Hardcover Very Good Sewn binding. Cloth over boards. 385 p.

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Product Details

  • ISBN-13: 9783540630210
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/28/1997
  • Series: Lecture Notes in Physics
  • Pages: 385

Table of Contents

New Inverse Spectral Problem and Its Application 1
Inverse Problem on the Entire Line and Some Connected Questions of Spectral Theory 13
Qualitative Physics in Spectral, Scattering and Decay Control 30
Ambiguities in Inversion Potentials for Light Nuclear Ion Scattering 45
Coupled-Channel Marchenko Inversion in One Dimension with Thresholds 54
One-Dimensional Inversion in Neutron and X-Ray Reflection 64
Non-standard Information in Optical Model Analyses 75
Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory 88
The Inverse Scattering Problem for Coupled Channels with the Modified Newton-Sabatier Method 98
Energy-Dependent Potentials Obtained by IP Inversion 112
Modeling of Nucleon-Nucleon Potentials, Quantum Inversion Versus Meson Exchange Pictures 124
Inversion Potentials for Meson-Nucleon and Meson-Meson Interactions 141
Fixed-Energy Inversion of Polarisation-Corrected Electron-Atom Scattering Phase-Shifts into Effective Potentials 156
Pion Nucleus Interaction from Inverse Scattering Theory and a Test of Charge Symmetry 169
NN Potentials with Explicit Momentum Dependence Obtained from Generalized Darboux Transformations 177
Unitarity and the Scattering Phase Shifts for Inversion Studies 187
Potential Reversal and Reflectionless Impurities in Periodic Structures 197
The Method of the Weakly Conjugate Operator 204
Solutions to the Hierarchy of the Periodic Toda Lattices 227
Spectrum Generating Algebras and Dynamic Symmetries in Scattering 237
Algebraic Coupled-Channels Formalism for Heavy Ions Near the Coulomb Barrier 255
Algebraic Scattering Theory and Light Heavy-Ion Reactions 273
Geometrical Relation of the SACM 287
Phase-Equivalent Complex Potentials 295
Exactly Solvable Models for Two-Dimensional Quantum Systems 314
Exactly Solvable Quantum Models for Investigation of Nonadiabatic Transitions 342
Modified Symmetry Generators for SO(3,2) and Algebraic Scattering Theory 354
Analytical Results on Generating Phase-Equivalent Potentials by Supersymmetry: Removal and Addition of Bound States 363
Multidimensional Inverse Scattering with Fixed-Energy Data 373
List of Authors 385
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