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Simplified solutions of the Cox-Thompson inverse scattering method at fixed energy
Tamas Palmai, Miklos Horvath, Barnabas Apagyi
Simplified solutions of the Cox-Thompson inverse quantum scattering method at fixed energy are derived if a finite number of partial waves with only even or odd angular momenta con…
Semi-analytic equations to the Cox-Thompson inverse scattering method at fixed energy for special cases
Tamas Palmai, Miklos Horvath, Barnabas Apagyi
Solution of the Cox-Thompson inverse scattering problem at fixed energy [1,2,3] is reformulated resulting in semi-analytic equations. The new set of equations for the normalization…
On nonsingular potentials of Cox-Thompson inversion scheme
Tamas Palmai, Barnabas Apagyi
We establish a condition for obtaining nonsingular potentials using the Cox-Thompson inverse scattering method with one phase shift. The anomalous singularities of the potentials a…
Quantum mechanical inverse scattering problem at fixed energy: a constructive method
Tamas Palmai, Barnabas Apagyi
The inverse scattering problem of the three-dimensional Schroedinger equation is considered at fixed scattering energy with spherically symmetric potentials. The phase shifts deter…
Regularization of multi-soliton form factors in sine-Gordon model
Tamas Palmai
A general and systematic regularization is developed for the exact solitonic form factors of exponential operators in the (1+1)-dimensional sine-Gordon model by analytical continua…