21 citations · 106 across the 24 of their papers we have counts for
5 papers · 2 filters
Unitary transformations of a family of two-dimensional anharmonic oscillators
Francisco M. Fernández, Javier Garcia
In this paper we analyze a recent application of perturbation theory by the moment method to a family of two-dimensional anharmonic oscillators. By means of straightforward unitary…
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…
Ad hoc physical Hilbert spaces in Quantum Mechanics
Francisco M. Fernández, Javier Garcia, Iveta Semorádová +1
The overall principles of what is now widely known as PT-symmetric quantum mechanics are listed, explained and illustrated via a few examples. In particular, models based on an ele…
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…