6533b7ddfe1ef96bd12740b5
RESEARCH PRODUCT
A family of complex potentials with real spectrum
Francisco M. FernándezR GuardiolaMiloslav ZnojilJosé Luis Regidor Rossubject
Integrable systemFOS: Physical sciencesGeneral Physics and AstronomyComplex planeQuantum mechanicsMathematical analysisQuantumsymbols.namesakeHamiltonian (quantum mechanics)EigenfunctionEigenvalues and eigenvectorsEigenvalues and eigenvectorsPhysicsIntegrable systemQuantum PhysicsPhysicsMathematical analysisFísicaStatistical and Nonlinear PhysicsParity (physics)EigenfunctionInvariant (physics)Invariant (physics)Parity (physics)Mathematical physicssymbolsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)Complex planeMathematicsdescription
We consider a two-parameter non-Hermitian quantum mechanical Hamiltonian operator that is invariant under the combined effects of parity and time reversal transformations. Numerical investigation shows that for some values of the potential parameters the Hamiltonian operator supports real eigenvalues and localized eigenfunctions. In contrast with other parity times time reversal symmetric models which require special integration paths in the complex plane, our model is integrable along a line parallel to the real axis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 |