21 citations · 106 across the 24 of their papers we have counts for
8 papers · 1 filter
Comparison of two semiclassical expansions for a family of PT-symmetric oscillators
Francisco M. Fernández, Javier Garcia
We show that a recently developed semiclassical expansion for the eigenvalues of PT-symmetric oscillators of the form does not agree with an earlier WKB expr…
Eigenvalues and eigenfunctions of the anharmonic oscillator
Francisco M. Fernández, Javier Garcia
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential by means of three different methods. Our results str…
PT-symmetry broken by point-group symmetry
Francisco M Fernández, Javier Garcia
We discuss a PT-symmetric Hamiltonian with complex eigenvalues. It is based on the dimensionless Schrödinger equation for a particle in a square box with the PT-symmetric potential…
Non-hermitean hamiltonians with unitary and antiunitary symmetry
Francisco M. Fernández, Javier Garcia
We analyze several non-Hermitian Hamiltonians with antiunitary symmetry from the point of view of their point-group symmetry. It enables us to predict the degeneracy of the energy…
Rayleigh-Ritz variational method with suitable asymptotic behaviour
Javier Garcia, Francisco M Fernández
We discuss Rayleigh-Ritz variational calculations with nonorthogonal basis sets that exhibit the correct asymptotic behaviour. We construct the suitable basis sets for general one-…
-symmetric strings
Paolo Amore, Francisco M. Fernández, Javier Garcia +1
We study both analytically and numerically the spectrum of inhomogeneous strings with -symmetric density. We discuss an exactly solvable model of -symme…
Critical parameters for non-hermitian Hamiltonians
Francisco M Fernández, Javier Garcia
We calculate accurate critical parameters for a class of non-hermitian Hamiltonians by means of the diagonalization method. We study three one-dimensional models and two perturbed…
On the eigenvalues of some nonhermitian oscillators
Francisco M. Fern/'andez, Javier Garcia
We consider a class of one-dimensional nonhermitian oscillators and discuss the relationship between the real eigenvalues of PT-symmetric oscillators and the resonances obtained by…