2 papers
math-ph2026
An unified approach for the (inverted) quantum harmonic oscillator and the Berry-Keating hamiltonian
Fabio Bagarello, Emanuele Balistreri, Sergey Kuzhel
We propose an unified view to three well known quadratic Hamiltonians widely considered in quantum mechanics, i.e. those of the harmonic oscillator, of the inverted harmonic oscill…
math-ph2026
A position dependent mass Hamiltonian and abstract ladder operators
Fabio Bagarello, Emanuele Balistreri, Antonino Faddetta
We consider the Hamiltonian of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called {\em abstract ladder operators…