25 citations · 60 across the 6 of their papers we have counts for
6 papers
Lusin spaces as images of locally compact Polish spaces
Alina Kargol, Yuri Kozitsky
A Lusin space is a Hausdorff space being the image of a Polish space under a continuous bijection. Such spaces have multiple applications, in particular, as state spaces of various…
Lee-Yang zeros and two-time spin correlation function
Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
The two-time correlation function for probe spin interacting with spin system (bath) is studied. We show that zeros of this function correspond to zeros of partition function of sp…
Time correlation functions and Fisher zeros for q-deformed Bose gas
Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
The time-dependent correlation functions of q-deformed Bose gas are studied. We find relation of zeros of the correlation functions with the Fisher zeros of partition function of t…
Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
Two-time correlation functions of a system of Bose particles are studied. We find relation of zeros of the correlation functions with the Lee-Yang zeros of partition function of th…
Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
Alina Kargol, Yuri Kondratiev, Yuri Kozitsky
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. T…
A Phase Transition in a Quantum Crystal with Asymmetric Potentials
Alina Kargol, Yuri Kozitsky
A translation invariant system of interacting quantum anharmonic oscillators indexed by the elements of a simple cubic lattice is considered. The anharmonic potentia…