185 citations · 496 across the 20 of their papers we have counts for
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math-ph2016★ 1 cited
A duality of the classical action yields a reflection symmetry of the quantum energy spectrum
Michael Kreshchuk, Tobias Gulden
The concept of duality reflects a link between two seemingly different physical objects. An example in quantum mechanics is a situation where the spectra (or their parts) of two Ha…
hep-th2016★ 9 cited
Strings and skyrmions on domain walls
Vladimir Bychkov, Michael Kreshchuk, Evgeniy Kurianovych
We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in t…
math.RA2016★ 1 cited
On a special property of tridiagonal matrices. Application to dual quasi-exactly solvable sextic potentials in quantum mechanics
Michael Kreshchuk
We put forward and prove a simple theorem stating that the eigenvalues of a tridiagonal matrix change their sign (as a set), once the signs of the diagonal elements of the matrix a…