23 citations · 84 across the 12 of their papers we have counts for
12 papers
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…
Macroscopic quantum superpositon states of two-component Bose-Einstein condensates
Gábor Csire, Barnabás Apagyi
We examine a two-component Bose-Einstein condensate in a double-well potential. We propose a model for the creation of many-particle macroscopic quantum superposition states. The e…
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…
Development of a Cox-Thompson inverse scattering method to charged particles
Tamas Palmai, Barnabas Apagyi, Werner Scheid
A Cox-Thompson fixed-energy quantum inverse scattering method is developed further to treat long-range Coulomb interaction. Depending on the reference potentials chosen, two method…
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…
Effect of scattering lengths on the dynamics of a two-component Bose-Einstein condensate
Gábor Csire. Dániel Schumayer, Barnabás Apagyi
We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stab…
Interlacing of positive real zeros of Bessel functions
Tamas Palmai, Barnabas Apagyi
We unify the three distinct inequality sequences (Abramowitz ans Stegun (1972) [1,9.5.2]) of positive real zeros of Bessel functions into a single one.
Assessment of interspecies scattering lengths from stability of two-component Bose-Einstein condensates
Barnabas Apagyi, Daniel Schumayer
A stability method is used to assess possible values of interspecies scattering lengths a_12 in two-component Bose-Einstein condensates described within the Gross-Pitaevskii approx…
Painlevé test of coupled Gross-Pitaevskii equations
Dániel Schumayer, Barnabás Apagyi
Painlevé test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system…