On nonsingular potentials of Cox–Thompson inversion scheme

T Pálmai, B Apagyi - Journal of mathematical physics, 2010 - pubs.aip.org
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 …

Simplified solutions of the Cox–Thompson inverse scattering method at fixed energy

T Pálmai, M Horváth, B Apagyi - Journal of Physics A …, 2008 - iopscience.iop.org
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 …

Development of a Cox–Thompson inverse scattering method to charged particles

T Pálmai, B Apagyi, W Scheid - Journal of Physics G: Nuclear and …, 2010 - iopscience.iop.org
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 …

[HTML][HTML] Optoacoustic inversion via convolution kernel reconstruction in the paraxial approximation and beyond

O Melchert, M Wollweber, B Roth - Photoacoustics, 2019 - Elsevier
In this article we address the numeric inversion of optoacoustic signals to initial stress
profiles. Therefore we study a Volterra integral equation of the second kind that describes …

Semi-analytic equations to the Cox–Thompson inverse scattering method at fixed energy for special cases

T Palmai, M Horvath, B Apagyi - Modern Physics Letters B, 2008 - World Scientific
Solution of the Cox–Thompson inverse scattering problem at fixed energy1–3 is
reformulated resulting in semi-analytic equations. The new set of equations for the …

Study of the Cox–Thompson inverse scattering method with a Coulomb potential

D Hilk, W Scheid, T Palmai… - Journal of Physics A …, 2010 - iopscience.iop.org
In order to learn more about the precision of the inversion by the Cox–Thompson method,
we investigated the inversion of phase shifts of a singular potential, namely of a Coulomb …

Effective Rb–Rb inter-atomic potential from ultracold Bose-gas collisions

D Schumayer, O Melchert, W Scheid… - Journal of Physics B …, 2008 - iopscience.iop.org
Scattering phase shifts obtained from 87 Rb Bose-gas collision experiments are used to
reconstruct effective potentials resulting, self-consistently, in the same scattering events …

Quantum mechanical inverse scattering problem at fixed energy: a constructive method

T Pálmai, B Apagyi - arXiv preprint arXiv:1111.6009, 2011 - arxiv.org
The inverse scattering problem of the three-dimensional Schroedinger equation is
considered at fixed scattering energy with spherically symmetric potentials. The phase shifts …

Interatomic-potential inversion from ultracold Bose-gas collision

B Apagyi, W Scheid, O Melchert, D Schumayer - Nuclear Physics A, 2007 - Elsevier
Rapidly developing techniques of optical cooling and trapping have opened the way for
studying atomic interactions in the sub-millikelvin regime. Recently, two clouds of rubidium …

Optoacoustic inversion via Volterra kernel reconstruction

O Melchert, M Wollweber, B Roth - arXiv preprint arXiv:1606.09487, 2016 - arxiv.org
In this letter we address the numeric inversion of optoacoustic signals to initial stress
profiles. Therefore we put under scrutiny the optoacoustic kernel reconstruction problem in …