53 citations · 121 across the 9 of their papers we have counts for
9 papers
Algebraic Solution of the Harmonic Oscillator With Minimal Length Uncertainty Relations
K. Gemba, Z. T. Hlousek, Z. Papp
In quantum mechanics with minimal length uncertainty relations the Heisenberg-Weyl algebra of the one-dimensional harmonic oscillator is a deformed SU(1,1) algebra. The eigenvalues…
Green's operator for Hamiltonians with Coulomb plus polynomial potentials
E. Kelbert, A. Hyder, F. Demir +2
The Hamiltonian of a Coulomb plus polynomial potential on the Coulomb-Sturmian basis has an infinite symmetric band-matrix structure. A band matrix can always be considered as a bl…
On the Coulomb-Sturmian matrix elements of the Coulomb Green's operator
F. Demir, Z. T. Hlousek, Z. Papp
The two-body Coulomb Hamiltonian, when calculated in Coulomb-Sturmian basis, has an infinite symmetric tridiagonal form, also known as Jacobi matrix form. This Jacobi matrix struct…
Accumulation of three-body resonances above two-body thresholds
Z. Papp, J. Darai, J. Zs. Mezei +2
We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations…
Faddeev-Merkuriev equations for resonances in three-body Coulombic systems
Z. Papp, J. Darai, A. Nishimura +3
We reconsider the homogeneous Faddeev-Merkuriev integral equations for three-body Coulombic systems with attractive Coulomb interactions and point out that the resonant solutions a…
Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions
Z. Papp, C-. Y. Hu, Z. T. Hlousek +2
A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body s…