121 citations · 1.1k across the 60 of their papers we have counts for
6 papers · 2 filters
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…
Experiments in PT-symmetric quantum mechanics
Miloslav Znojil
Extended quantum mechanics using non-Hermitian, pseudo-Hermitian Hamiltonians is briefly reviewed. Supersymmetric regularizations, solvable simulations and large-N expansion techni…
Low-lying spectra in anharmonic three-body oscillators with a strong short-range repulsion
Miloslav Znojil
Three-body Schroedinger equation is studied in one dimension. Its two-body interactions are assumed composed of the long-range attraction (dominated by the L-th-power potential) in…
PT symmetric models in more dimensions and solvable square-well versions of their angular Schroedinger equations
Miloslav Znojil
For any central potential V in D dimensions, the angular Schroedinger equation remains the same and defines the so called hyperspherical harmonics. For non-central models, the situ…
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…
Solvable simulation of a double-well problem in PT symmetric quantum mechanics
Miloslav Znojil
Within quantum mechanics which works with parity-pseudo-Hermitian Hamiltonians we study the tunneling in a symmetric double well formed by two delta functions with complex conjugat…