61 citations · 172 across the 10 of their papers we have counts for
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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…
PT-symmetric Deformations of the Korteweg-de Vries Equation
Andreas Fring
We propose a new family of complex PT-symmetric extensions of the Korteweg-de Vries equation. The deformed equations can be associated to a sequence of non-Hermitian Hamiltonians.…