71 citations · 180 across the 19 of their papers we have counts for
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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…
Linear representation of energy-dependent Hamiltonians
Miloslav Znojil
Effective (i.e., subspace-constrained) Hamiltonians become, by construction, energy-dependent while all the energy-dependent forces prove non-linear because the energy itself is me…
Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation
Miloslav Znojil, Hynek Bila, Vit Jakubsky
The concept of energy-dependent forces in quantum mechanics is re-analysed. We suggest a simplification of their study via the representation of each self-adjoint and energy-depend…
Multiparametric oscillator Hamiltonians with exact bound states in infinite-dimensional space
Miloslav Znojil
Central D-dimensional Hamiltonians (where z=1) are considered in the limit where numerical expe…