46 citations · 207 across the 21 of their papers we have counts for
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Quantum chaotic systems with arbitrarily large Ehrenfest times
Maciej Kuna
A class of time independent and physically meaningful Hamiltonians leads to evolution of observable quantities whose Ehrenfest times are arbitrarily large. This fact contradicts th…
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…
Quantum morphogenesis: A variation on Thom's catastrophe theory
D. Aerts, M. Czachor, L. Gabora +4
Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as…
Covariance approach to the free photon field
Maciej Kuna, Jan Naudts
We introduce photon theory following the same principles as for introduction of the quantum theory of a single particle, using a C*-algebraic approach based on covariance systems.…
Darboux-integration of idρ/dt=[H,f(ρ)]
N. V. Ustinov, S. B. Leble, M. Czachor +1
A Darboux-type method of solving the nonlinear von Neumann equation , with functions commuting with , is developed. The technique is based on a represen…
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…