4 citations · 4 across the 2 of their papers we have counts for
6 papers
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…
Baxters's Q-operators for the simplest q-deformed model
A. E. Kovalsky, G. P. Pronko
In the present paper we describe the procedure of the Q-operators construction for the q-deformed model, described by the Lax operator, which is important to formulate the Bethe an…
Baxter Q-operators for integrable DST chain
A. E. Kovalsky, G. P. Pronko
Following the procedure, described in the paper nlin.SI/0003002, for the integrable DST chain we construct Baxter Q-operators as the traces of monodromy of some M-operators, that a…
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…
Relativistic Toda chain
G. Pronko, S. Sergeev
Investigated is the relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl's we are considering here is restricted to be insid…