A family of complex potentials with real spectrum
Francisco M. FernándezCEQUINOR (CONICET, UNLP), Departamento de Química, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Calle 47 entre 1 y 115, Casilla de Correo 962, 1900 La Plata, ArgentinaR. GuardiolaDepartamento de Física Atómica y Nuclear, Universidad de Valencia, Avda Dr Moliner 50, 46100-Burjassot, Valencia, SpainJ RosDepartamento de Física Teórica and IFIC, Universidad de Valencia, Avda Dr Moliner 50, 46100-Burjassot, Valencia, SpainMiloslav ZnojilÚstav jaderné fyziky AV CR, 250 68 Rez u Prahy, Czech Republic
1999en
ABI
Аннотация
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the combined effects of parity and time reversal transformation. Numerical investigation shows that for some values of the potential parameters the hamiltonian operator supports real eigenvalues and localized eigenfunctions. In contrast with other PT symmetric models, which require special integration paths in the complex plane, our model is integrable along a line parallel to the real axis.
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