8 citations · 22 across the 6 of their papers we have counts for
3 papers · 1 filter
On application of involutivity analysis of differential equations to constrained dynamical systems
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov
A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplif…
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 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…