110 citations · 549 across the 30 of their papers we have counts for
30 papers
Asymptotic behavior of the extremal position in a multi-type branching random walk with heavy-tailed displacements
Krzysztof Kowalski
We consider a multi-type branching random walk with displacements that have either regularly varying or semi-exponential tails. We investigate the asymptotic behavior of the rightm…
Linear and integrable nonlinear evolution of the qutrit
Krzysztof Kowalski
The nonlinear generalization of the von Neumann equation preserving convexity of the state space is studied in the nontrivial case of the qutrit. This equation can be cast into the…
The Wigner function in the relativistic quantum mechanics
K. Kowalski, J. Rembielinski
A detailed study is presented of the relativistic Wigner function for a quantum spinless particle evolving in time according to the Salpeter equation.
On the coherent states for a relativistic scalar particle
K. Kowalski, J. Rembielinski, J. -P. Gazeau
The three approaches to relativistic generalization of coherent states are discussed in the simplest case of a spinless particle: the standard, canonical coherent states, the Loren…
Quantum beats of the rigid rotor
K. Kowalski, J. Rembieliński
The dynamics is investigated of a free particle on a sphere (rigid rotor or rotator) that is initially in a coherent state. The instability of coherent states with respect to the f…
Quantum dynamics of the harmonic oscillator on a cylinder
K. Kowalski, J. Rembieliński
Evolution of coherent states is considered for a particle confined to a cylinder moving in a harmonic oscillator potential. Because of the discontinuous changes as time goes by of…