INIFTA   05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
Three PT-symmetric hamiltonians with completely different spectra
Autor/es:
FERNÁNDEZ, FRANCISCO M.; GARCIA, JAVIER
Revista:
ANNALS OF PHYSICS (NEW YORK)
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 363 p. 496 - 502
ISSN:
0003-4916
Resumen:
We discuss three Hamiltonians, each with a central-field part H0and a PT-symmetric perturbation igz. When H0 is the isotropicHarmonic oscillator the spectrum is real for all g because H isisospectral to H0 + g 2 /2. When H0 is the Hydrogen atom theninfinitely many eigenvalues are complex for all g. If the potential inH0 is linear in the radial variable r then the spectrum of H exhibitsreal eigenvalues for 0 < g < gc and a PT phase transition at gc .