27 citations · 127 across the 32 of their papers we have counts for
6 papers · 1 filter
Nodal algebraic curves and entropy diagnostics in degenerate two-dimensional harmonic-oscillator shells
C A Escobar Ruiz, H Olivares-Pilon, A M Escobar-Ruiz
Degeneracy allows the nodal structure of a quantum state to vary without changing its energy. We study this effect for real superpositions in the fixed-energy shells of the two-dim…
Cylindrically confined atom in magnetic field: variational cut-off factor
A. N. Mendoza Tavera, H. Olivares-Pilón, M. Rodríguez-Arcos +1
In the present study, we consider the hydrogen atom confined within an impenetrable infinite cylindrical cavity of radius in the presence of a constant magnetic field ${\bf…
The QES sextic and Morse potentials: exact WKB condition and supersymmetry
Alonso Contreras-Astorga, A. M. Escobar-Ruiz
In this paper, as a continuation of [Contreras-Astorga A., Escobar-Ruiz A. M. and Linares R., \textit{Phys. Scr.} {\bf99} 025223 (2024)] the one-dimensional quasi-exactly solvable…
The SUSY partners of the QES sextic potential revisited
Alonso Contreras-Astorga, A. M. Escobar-Ruiz, Román Linares
In this paper, the SUSY partner Hamiltonians of the quasi-exactly solvable (QES) sextic potential …
3-body harmonic molecule
H. Olivares-Pilón, A. M. Escobar-Ruiz, F. Montoya
In this study, the quantum 3-body harmonic system with finite rest length and zero total angular momentum is explored. It governs the near-equilibrium -states eigenfun…
Helium-like ions in -dimensions: analyticity and generalized ground state Majorana solutions
Adrian M. Escobar-Ruiz, Horacio Olivares-Pilón, Norberto Aquino +1
Non-relativistic Helium-like ions with static nucleus in a dimensional space () are considered. Assuming Coulomb interactions, a 2-par…