Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”

Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither Hermitian nor P T symmetric but exhibits real eigenvalues for some values of the model parameters. In order to explain this fact, they resorted to P T -pseudo Hermiticity and to a so-called permutation...

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Detalles Bibliográficos
Autor principal: Fernández, Francisco Marcelo
Formato: Articulo Comunicacion
Lenguaje:Inglés
Publicado: 2017
Materias:
Física
Non-Hermitian Hamiltonian
Broken antiunitary symmetries
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131863
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131863
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Non-Hermitian Hamiltonian
Broken antiunitary symmetries
spellingShingle Física
Non-Hermitian Hamiltonian
Broken antiunitary symmetries
Fernández, Francisco Marcelo
Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
topic_facet Física
Non-Hermitian Hamiltonian
Broken antiunitary symmetries
description Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither Hermitian nor P T symmetric but exhibits real eigenvalues for some values of the model parameters. In order to explain this fact, they resorted to P T -pseudo Hermiticity and to a so-called permutation symmetry. Here we show that the spectrum of this Hamiltonian can be easily analyzed in the usual way in terms of exact or broken antiunitary symmetries that appear to be more relevant than the permutation symmetry. In addition, we show why the authors' Hamiltonian and the well-known Pais-Uhlenbeck oscillator lead to the same fourth-order differential equation for the coordinates.
format Articulo
Comunicacion
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
title_short Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
title_full Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
title_fullStr Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
title_full_unstemmed Comment on “Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics”
title_sort comment on “spontaneous breaking of permutation symmetry in pseudo-hermitian quantum mechanics”
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/131863
work_keys_str_mv AT fernandezfranciscomarcelo commentonspontaneousbreakingofpermutationsymmetryinpseudohermitianquantummechanics
bdutipo_str Repositorios
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