121 citations · 702 across the 43 of their papers we have counts for
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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…
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…
New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators
Miloslav Znojil, Denis Yanovich
Schroedinger bound-state problem in D dimensions is considered for a set of central polynomial potentials (containing 2q coupling constants). Its polynomial (harmonic-oscillator-li…
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…
New exact solutions for polynomial oscillators in large dimensions
Miloslav Znojil, Denis Yanovich, Vladimir P. Gerdt
A new type of exact solvability is reported. We study the general central polynomial potentials (with 2q anharmonic terms) which satisfy the Magyari's partial exact solvability con…