INIFTA   05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
Non-Hermitian Hamiltonians with unitary and antiunitary symmetries
Autor/es:
FRANCISCO M. FERNÁNDEZ; JAVIER GARCIA
Revista:
ANNALS OF PHYSICS (NEW YORK)
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: New York; Año: 2014 vol. 342 p. 195 - 204
ISSN:
0003-4916
Resumen:
Weanalyseseveralnon-HermitianHamiltonianswithantiunitary symmetryfromthepointofviewoftheirpoint-groupsymmetry. It enables us to predict the degeneracy of the energy levels and to reduce the dimension of the matrices necessary for the diagonalizationoftheHamiltonianinagivenbasisset.Wecanalso classifythesolutionsaccordingtotheirreduciblerepresentations of the point group and thus analyse their properties separately. One of the main results of this paper is that some PT-symmetric Hamiltonians with point-group symmetryC2v exhibit complex eigenvalues for all values of a potential parameter. In such cases the PT phase transition takes place at the trivial Hermitian limit which suggests that the phenomenon is not robust. Point-group symmetryenablesustoexplainsuchanomalousbehaviourandto chooseasuitableantiunitaryoperatorforthePTsymmetry.