6 papers
Implementability of Liouville evolution, Koopman and Banach-Lamperti theorems in Classical and Quantum dynamics
I. Antoniou, W. A. Majewski, Z. Suchanecki
We extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly for…
Zeno era and non-decaying subspaces for multilevel Friedrichs model
I. Antoniou, E. Karpov, G. Pronko +1
We study the short-time and medium-time behavior of the survival probability of decaying states in the framework of the -level Friedrichs model. The degenerated and nearly degen…
Oscillating decay of an unstable system
I. Antoniou, E. Karpov, G. Pronko +1
We study the short-time and medium-time behavior of the survival probability in the frame of the -level Friedrichs model. The time evolution of an arbitrary unstable initial sta…
On the Hamiltonian Description of Fluid Mechanics
I. Antoniou, G. P. Pronko
We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms of Lagrangian variables. The construction of the canonical variables of the fluid…
Coarse graining: lessons from simple examples
P. Akritas, I. Antoniou, E. Yarevsky
We assess Coarse Graining by studying different partitions of the phase space of the Baker transformation and the periodic torus automorphisms. It turns out that the shape of autoc…
Quantum Electronic Devices Based on Metal-Dielectric Transition in Low-Dimensional Quantum Structures
I. Antoniou, B. Pavlov, A. Yafyasov
Two types of optically manipulated quantum electronic devices are considered: a quantum dot and a finite periodic molecular chain, with the period doubled under resonance optical e…