E2-quasi-exact solvability for non-Hermitian models

DOI10.1088/1751-8113/48/14/145301zbMath1312.81074arXiv1411.4300OpenAlexW2031071880MaRDI QIDQ5247147

Andreas Fring

Publication date: 23 April 2015

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

Full work available at URL: https://arxiv.org/abs/1411.4300

zbMATH Keywords

orthogonal polynomialsPT-symmetryquasi-exact solvabilitynon-Hermitian systemscomplex Mathieu equaiton

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Lamé, Mathieu, and spheroidal wave functions (33E10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

A Unifying E2-Quasi Exactly Solvable Model ⋮ Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point ⋮ Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models ⋮ Periodic analytic approximate solutions for the Mathieu equation ⋮ Stability boundaries of a Mathieu equation having \textit{PT} symmetry ⋮ A new non-Hermitian \(E_2\)-quasi-exactly solvable model

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