Spectral singularity and reflectionlessness in non-Hermitian (complex) Ginocchio potential

DOI10.1088/1751-8113/45/46/465305zbMath1258.81035arXiv1207.1979OpenAlexW1987833701MaRDI QIDQ3145890

Joseph Amal Nathan, Ananya Ghatak, Zafar Ahmed, Bhabani Prasad Mandal

Publication date: 17 December 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1979

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Complete particle-pair annihilation as a dynamical signature of the spectral singularity ⋮ Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system ⋮ \textit{PT} phase transition in higher-dimensional quantum systems ⋮ New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics ⋮ Reciprocity in parity violating non-Hermitian systems ⋮ Various scattering properties of a new PT-symmetric non-Hermitian potential ⋮ PT phase transition in a \((2+1)\)-d relativistic system ⋮ Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential

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