112 citations · 1.1k across the 124 of their papers we have counts for
5 papers · 2 filters
On an approximation to the Schrödinger equation with the Hellmann potential
Paolo Amore, Francisco M. Fernández
We tried to determine the range of validity of a recently proposed modification of the Hellmann potential that leads to analytical eigenvalues and eigenfunctions. We discuss the di…
Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials
Paolo Amore, Francisco M. Fernández
We generalize a recently proposed small-energy expansion for one-dimensional quantum-mechanical models. The original approach was devised to treat symmetric potentials and here we…
Non-Hermitian oscillators with symmetry
Paolo Amore, Francisco M. Fernández, Javier Garcia
We analyse some PT-symmetric oscillators with symmetry that depend on a potential parameter . We calculate the eigenvalues and eigenfunctions for each irreducible repres…
Is space-time symmetry a suitable generalization of parity-time symmetry?
Paolo Amore, Francisco M. Fernández, Javier Garcia
We discuss space-time symmetric Hamiltonian operators of the form , where is Hermitian and real. is invariant under the unitary operatio…
On the eigenvalues of some non-Hermitian Hamiltonians with space-time symmetry
Paolo Amore, Francisco M. Fernández, Javier Garcia
We calculate the eigenvalues of some two-dimensional non-Hermitian Hamiltonians by means of a pseudospectral method and straightforward diagonalization of the Hamiltonian matrix in…