185 citations · 3.5k across the 160 of their papers we have counts for
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A new non-Hermitian E2-quasi-exactly solvable model
Andreas Fring
We construct a previously unknown -quasi-exactly solvable non-Hermitian model whose eigenfunctions involve weakly orthogonal polynomials obeying three-term recurrence relation…
E2-quasi-exact solvability for non-Hermitian models
Andreas Fring
We propose the notion of -quasi-exact solvability and apply this idea to find explicit solutions to the eigenvalue problem for a non-Hermitian Hamiltonian system depending o…
Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We propose a noncommutative version of the Euclidean Lie algebra . Several types of non-Hermitian Hamiltonian systems expressed in terms of generic combinations of the generat…
Noncommutative quantum mechanics in a time-dependent background
Sanjib Dey, Andreas Fring
We investigate a quantum mechanical system on a noncommutative space for which the structure constant is explicitly time-dependent. Any autonomous Hamiltonian on such a space acqui…
Nonlinear eigenvalue problems
Carl M. Bender, Andreas Fring, Javad Komijani
This paper presents a detailed asymptotic study of the nonlinear differential equation y'(x)=\cos[πxy(x)] subject to the initial condition y(0)=a. Although the differential equatio…
Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean Lie algebraic generators. The classes are disti…