Spectral singularity and deep multiple minima in the reflectivity in non-Hermitian (complex) Ginocchio potential
arXiv:1207.1979 · doi:10.1088/1751-8113/45/46/465305
Abstract
We bring out the existence of at most one spectral singularity (SS) and deep multiple minima in the reflectivity of the non-Hermitian (complex) Ginocchio potential. We find a parameter dependent single spectral singularity in this potential provided the imaginary part is emissive (not absorptive). The reflectionlessness of the real Hermitian Ginocchio's potential at discrete positive energies gives way to deep multiple minima in reflectivity when this potential is perturbed and made non-Hermitian (complex). A novel co-existence of a SS with deep minima in reflectivity is also revealed wherein the first reflectivity zero of the Hermitian case changes to become a SS for the non-Hermitian case. {PACS: 03.65.Nk,11.30.Er,42.25.Bs}
total 13 pages, one table and three figures
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Cited by in corpus (13)
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- New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics
- Various Scattering Properties of a New PT-symmetric non-Hermitian potential
- PT phase transition in a (2+1)-d relativistic system
- Coherent perfect absorption with and without lasing in complex potentials
- Complete particle-pair annihilation as a dynamical signature of the spectral singularity
- A black potential for spin less particles
- Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity
- Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
- Reciprocity in parity violating non-Hermitian systems