Spectral singularity and non-HermitianPT-symmetric extension of anAN− 1-type Calogero model without confining potential

DOI10.1088/1751-8113/45/44/444022zbMath1263.81192arXiv1209.0535OpenAlexW2062761094MaRDI QIDQ4913251

Bhabani Prasad Mandal, Ananya Ghatak

Publication date: 5 April 2013

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

Full work available at URL: https://arxiv.org/abs/1209.0535

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system ⋮ Higher loop \(\beta\) function for non-Hermitian PT symmetric \(\iota g\phi^3\) theory ⋮ \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 ⋮ Deconfinement to confinement as PT phase transition

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