5 citations · 10 across the 3 of their papers we have counts for
5 papers
Special solutions of nonlinear von Neumann equations
Jan Naudts, Maciej Kuna
We consider solutions of the non-linear von Neumann equation involving Jacobi's elliptic functions sn, cn, and dn, and 3 linearly independent operators. In two cases one can constr…
Construction of exact solutions of Bloch-Maxwell equation based on Darboux transformation
Maciej Kuna
A new strategy, using Darboux transformations, of finding self-switching solutions of is introduced. Unlike the previous ones, working for any f but for Hamilt…
Photon fields in a fluctuating spacetime
Jan Naudts, Maciej Kuna, Wojciech De Roeck
We present a model of interacting quantum fields, formulated in a non-perturbative manner. One of the fields is treated semi-classically, the other is the photon field. The model h…
Nonlinear von Neumann-type equations
Marek Czachor, Maciej Kuna, Sergiej B. Leble +1
We review some recent developments in the theory of nonlinear von Neumann equations. We distinguish between the von Neumann equation (which can be nonlinear) and the Liouville equa…
Off-shell indefinite-metric triple-bracket generalization of the Dirac equation
Marek Czachor, Maciej Kuna
We present an off-shell indefinite-metric reformulation of the earlier on-shell positive-metric triple bracket generalization of the Dirac equation. The new version of the formalis…