INIFTA   05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
Non-Hermitian oscillators with Td symmetry
Autor/es:
PAOLO AMORE; FRANCISCO M. FERNÁNDEZ; JAVIER GARCIA
Revista:
ANNALS OF PHYSICS (NEW YORK)
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 353 p. 238 - 251
ISSN:
0003-4916
Resumen:
We analyse some PT-symmetric oscillators with Td symmetry thatdepend on a potential parameter g. We calculate the eigenvaluesand eigenfunctions for each irreducible representation and for arange of values of g. Pairs of eigenvalues coalesce at exceptionalpoints gc ; their magnitude roughly decreasing with the magnitudeof the eigenvalues. It is difficult to estimate whether there is aphase transition at a nonzero value of g as conjectured in earlier pa-pers. Group theory and perturbation theory enable one to predictwhether a given space?time symmetry leads to real eigenvalues forsufficiently small nonzero values of g.