3 papers
quant-ph2025
Two simple models derived from a quantum-mechanical particle on an elliptical path
Francisco M. Fernández
We analyze two simple models derived from a quantum-mechanical particle on an elliptical path. The first Hamiltonian operator is non-Hermitian but equivalent to an Hermitian operat…
quant-ph2025
Sheared potentials and travelling nodes
Francisco M. Fernández
When a sheared potential is deformed in such a way that the distance between the classical turning points remains constant the eigenvalues of the Schrödinger equation oscillate wit…
quant-ph2025
On the exact solutions of a two-dimensional hydrogen atom in a constant magnetic field
Francisco M. Fernández
We discuss the exact polynomial solutions for the two-dimensional hydrogen atom in a constant magnetic field already studied earlier by other authors. In order to provide a suitabl…