121 citations · 1k across the 56 of their papers we have counts for
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Mass-sign duality of cubic oscillators
Miloslav Znojil
Two imaginary cubic anharmonic oscillators with the respective positive and negative mass term are shown isospectral.
Relativistic vector bosons and PT-symmetry
Jaroslav Smejkal, Vit Jakubsky, Miloslav Znojil
Relativistic massive bosons with spin one are considered in several quantization schemes. In all of them the system is shown described by a non-Hermitian Hamiltonian and helicity o…
Dynamics of charged fluids and 1/L perturbation expansions
Miloslav Znojil, Uwe Guenther
Some features of the calculation of fluid dynamo systems in magnetohydrodynamics are studied. In the coupled set of the ordinary linear differential equations for the spherically s…
Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
Miloslav Znojil, Hendrik B. Geyer
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a real spectrum, we construct all the eligible physical metrics and show that none of…
Matching method and exact solvability of discrete PT-symmetric square wells
Miloslav Znojil
Discrete PT-symmetric square wells are studied. Their wave functions are found proportional to classical Tshebyshev polynomials of complex argument. The compact secular equations f…
Closed formula for the metric in the Hilbert space of a PT-symmetric model
D. Krejcirik, H. Bila, M. Znojil
We introduce a very simple, exactly solvable PT-symmetric non-Hermitian model with real spectrum, and derive a closed formula for the metric operator which relates the problem to a…