114 citations · 437 across the 16 of their papers we have counts for
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Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty"
Bijan Bagchi, Andreas Fring
We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] co…
Non-Hermitian Hamiltonians of Lie algebraic type
Paulo E. G. Assis, Andreas Fring
We analyse a class of non-Hermitian Hamiltonians, which can be expressed bilinearly in terms of generators of a sl(2,R)-Lie algebra or their isomorphic su(1,1)-counterparts. The Ha…
PT-symmetric deformations of Calogero models
Andreas Fring, Miloslav Znojil
We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A_2 and G_2-…
PT-symmetry and Integrability
Andreas Fring
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry which explain the reality of the spectrum of some non-Hermitian Hamiltonians. Su…
Metrics and isospectral partners for the most generic cubic PT-symmetric non-Hermitian Hamiltonian
Paulo E. G. Assis, Andreas Fring
We investigate properties of the most general PT-symmetric non-Hermitian Hamiltonian of cubic order in the annihilation and creation operators as a ten parameter family. For variou…
The quantum brachistochrone problem for non-Hermitian Hamiltonians
Paulo E. G. Assis, Andreas Fring
Recently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the passage time needed for the evolution of certain initial states into specified final…