228 citations · 552 across the 17 of their papers we have counts for
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IR-truncated symmetric model and its asymptotic spectral scaling graph
Uwe Guenther, Frank Stefani
The symmetric quantum mechanical model over the real line, , is infrared (IR) truncated and considered as Sturm-Liouville problem over a fin…
A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
E. M. Graefe, U. Guenther, H. J. Korsch +1
We study a non-Hermitian symmetric generalization of an -particle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential…
The spherically symmetric alpha2-dynamo and some of its spectral peculiarities
Uwe Guenther, Oleg N. Kirillov, Boris F. Samsonov +1
A brief overview is given over recent results on the spectral properties of spherically symmetric MHD alpha2-dynamos. In particular, the spectra of sphere-confined fluid or plasma…
Exact propagators for SUSY partners
Andrey M. Pupasov, Boris F. Samsonov, Uwe Guenther
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvab…
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…
MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
Uwe Guenther, Frank Stefani, Miloslav Znojil
It is shown that the alpha^2-dynamo of Magnetohydrodynamics, the hydrodynamic Squire equation as well as an interpolation model of PT-symmetric Quantum Mechanics are closely relate…
Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
U. Guenther, F. Stefani
The isospectrality problem is studied for the operator of the spherical hydromagnetic alpha^2-dynamo. It is shown that this operator is formally pseudo-Hermitian (J-symmetric) and…