71 citations · 180 across the 19 of their papers we have counts for
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Perturbation method for non-square Hamiltonians and its application to polynomial oscillators
Miloslav Znojil
A remarkable extension of Rayleigh-Schroedinger perturbation method is found. Its (N+q) x (N+1) - dimensional Hamiltonians (as emerging, e.g., during quasi-exact constructions of b…
New types of solvability in PT symmetric quantum theory
Miloslav Znojil
The characteristic anti-linear (parity/time reversal, PT) symmetry of non-Hermitian Hamiltonians with real energies is presented as a source of two new forms of solvability of Schr…
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…
The method of Hill determinants in PT-symmetric quantum mechanics
Miloslav Znojil
Hill-determinant method is described and shown applicable within the so called PT-symmetric quantum mechanics. We demonstrate that in a way paralleling its traditional Hermitian ap…
Fragile PT-symmetry in a solvable model
Miloslav Znojil
One of the simplest pseudo-Hermitian models with real spectrum (viz., square-well on a real interval I of coordinates) is re-examined. A PT-symmetric complex deformation C of I is…
On Exact Solvability of Anharmonic Oscillators in Large Dimensions
Vladimir Gerdt, Denis Yanovich, Miloslav Znojil
General Schrödinger equation is considered with a central polynomial potential depending on arbitrary coupling constants. Its exceptional solutions of the so called Magyari ty…