44 citations · 329 across the 19 of their papers we have counts for
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The inverse scattering problem at fixed energy based on the Marchenko equation for an auxiliary Sturm-Liouville operator
Tamas Palmai, Barnabas Apagyi
A new approach is proposed to the solution of the quantum mechanical inverse scattering problem at fixed energy. The method relates the fixed energy phase shifts to those arising i…
Fixed energy potentials through an auxiliary inverse eigenvalue problem
Tamas Palmai, Barnabas Apagyi
An inverse scattering method based on an auxiliary inverse Sturm-Liouville problem recently proposed by Horváth and Apagyi [Mod. Phys. Lett. B 22, 2137 (2008)] is examined in vario…
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…