436 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Consejo Nacional de Investigaciones Científicas y TécnicasAR144 papers
- Universidad Nacional de La PlataAR72 papers
- Universidad de ColimaMX41 papers
- Centro Científico Tecnológico - La PlataAR40 papers
- Institute for Complex SystemsIT23 papers
- Sapienza University of RomeIT22 papers
- University of TrentoIT18 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Instituto de Fisica de Liquidos y Sistemas BiologicosAR13 papers
- University of MichiganUS12 papers
- Cornell UniversityUS11 papers
- University of CambridgeGB11 papers
8 papers · 2 filters
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…
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…
Perturbation theory by the moment method and point-group symmetry
Francisco M. Fernández
We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimension…
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 crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
Francisco M. Fernández
The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings…
Algebraic treatment of -symmetric coupled oscillators
Francisco M. Fernández
The purpose of this paper is the discussion of a pair of coupled linear oscillators that has recently been proposed as a model of a system of two optical resonators. By means of an…