34 citations · 206 across the 16 of their papers we have counts for
16 papers
Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
Przemysław Kościk, Tomasz Sowiński
Exactly solvable model of two Rydberg-dressed atoms moving in a quasi-two-dimensional harmonic trap is introduced and its properties are investigated. Depending on the strength of…
Optimized Configuration Interaction Approach for Trapped Multiparticle Systems Interacting Via Contact Forces
Przemysław Kościk
For one-dimensional systems with delta-contact interactions, the convergence of the exact-diagonalization method is tested with a basis of harmonic oscillator eigenfunctions with f…
Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
Przemysław Kościk, Tomasz Sowiński
The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core in…
Quantum correlations in one-dimensional Wigner molecules
Przemysław Kościk
We studied one-dimensional systems formed by identical particles confined in a harmonic trap and subject to an inverse power law interaction potential . The corre…
The von Neumann entanglement entropy for Wigner-crystal states in one dimensional N-particle systems
Przemyslaw Koscik
We study one-dimensional systems of particles in a one-dimensional harmonic trap with an inverse power law interaction . Within the framework of the harmonic appr…
Bipartite correlations in quantum resonance states
Przemyslaw Koscik
We discuss a diagonal representation of a reduced density matrix determined within the framework of the complex scaling method. We also discuss a possible measure of bipartite corr…
Entanglement in helium atom confined in an impenetrable cavity
Przemyslaw Koscik, Jayanta K. Saha
We explore ground-state entanglement properties of helium atom confined at the center of an impenetrable spherical cavity of varying radius by using explicitly correlated Hylleraas…
Quantum entanglement of two harmonically trapped dipolar particles
Przemyslaw Koscik
We study systems of two identical dipolar particles confined in quasi one-dimensional harmonic traps. Numerical results for the dependencies of the entanglement on the control para…
Entanglement entropies in the ground states of helium-like atoms
Przemyslaw Koscik, Anna Okopinska
We examine the entanglement in the ground states of helium and helium-like ions using an original Hylleraas expansion. The von Neumann and linear entropies of the reduced density m…
Entanglement in S states of two-electron quantum dots with Coulomb impurities at the center
Przemyslaw Koscik
We study a system of two Coulombically interacting electrons in an external harmonic potential in the presence of an on-centre Coulomb impurity. Detailed results for the dependenci…
Two-electron entanglement in a two-dimensional isotropic harmonic trap: Radial correlation effects in the low density limit
Przemyslaw Koscik
We study a two-dimensional system of two Coulombically interacting electrons in an external harmonic confining potential. More precisely, we present calculations for the singlet gr…
Comment on "Entanglement of two interacting bosons in a two-dimensional isotropic harmonic trap" [Phys. Lett. A 373 (2009) 3833]
Przemyslaw Koscik
The correct form of the Schmidt decomposition of the stationary wave functions for a system of two interacting particles trapped in a two-dimensional harmonic potential is given
The optimized Rayleigh-Ritz scheme for determining the quantum-mechanical spectrum
Przemyslaw Koscik, Anna Okopinska
The convergence of the Rayleigh-Ritz method with nonlinear parameters optimized through minimization of the trace of the truncated matrix is demonstrated by a comparison with analy…
Two-electron entanglement in elliptically deformed quantum dots
Przemyslaw Koscik, Anna Okopinska
Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on t…
Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
Przemyslaw Koscik, Anna Okopinska
We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separabl…
Application of the Frobenius method to the Schrodinger equation for a spherically symmetric potential: anharmonic oscillator
Przemyslaw Koscik, Anna Okopinska
The power series method has been adapted to compute the spectrum of the Schrodinger equation for central potential of the form $V(r)={d_{-2}\over r^2}+{d_{-1}\over r}+\sum_{i=0}^{\…