71 citations · 180 across the 19 of their papers we have counts for
28 papers
An explicitly solvable model of the spontaneous PT-symmetry breaking
Vit Jakubsky, Miloslav Znojil
We contemplate the pair of the purely imaginary delta-function potentials on a finite interval with Dirichlet boundary conditions. The two parameter model exhibits nicely the expec…
Solvable relativistic quantum dots with vibrational spectra
Miloslav Znojil
For Klein-Gordon equation a consistent physical interpretation of wave functions is reviewed as based on a proper modification of the scalar product in Hilbert space. Bound states…
Unusual scalar products in Hilbert space of Quantum Mechanics: non-Hermitian square-well model with two coupled channels
Miloslav Znojil
A pseudo-Hermitian coupled-channel square-well model is proposed, solved and discussed. The domain of parameters is determined where all the bound-state energies (twice degenerate…
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…