8 citations · 22 across the 5 of their papers we have counts for
5 papers
q-Functional Wick's theorems for particles with exotic statistics
K. N. Ilinski, G. V. Kalinin, A. S. Stepanenko
In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-gener…
New index formulas as a meromorphic generalization of the Chern-Gauss-Bonnet theorem
N. V. Borisov, Kirill Ilinski, Gleb Kalinin
Laplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surfaces are constructed and their indices are calculated by two different ways. The to…
Exact results on linear response of cyclic molecular aggregates
A. V. Ilinskaia, K. N. Ilinski, G. V. Kalinin +2
Basing on the picture of Frenkel excitons in molecular crystals described by the XY-model we consider the linear response of linear cyclic aggregates at finite temperature. The exa…
Generalization of Agranovich-Toshich transformation and constraint free bosonic representation for systems of truncated oscillators
A. V. Ilinskaia, K. N. Ilinski
The generalization of Agranovich-Toshich representation of paulion operators in terms of bosonic ones for the case of truncated oscillators of higher ranks is represented. We use t…
Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case
K. N. Ilinski, J. M. F. Gunn
The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case \cite{IG} of for the statistical parameter…