On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three

In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two now quasi equivalent QMC for the given family of interaction operators $\{K_{}\}$.Comment: 34 pages, 1 figur

The Path to Privatization

A little less than half of all deliveries are now the subject of direct barter relations between enterprises. Naturally the barter system cannot secure the normal functioning of a modern economy. And since it is impossible to restore the administrative system, the situation will deteriorate until one or another program for the liberalization of prices and economic relationsâa program of making the transition to a marketâis implemented. It is only a question of what it will be like.

Analysis of Metrological Provision Problems of a Test Stand for Testing Radio-Electronic Products for Resistance to Irradiation with High-Energy Heavy Ions

Abstract: The problems of the metrological certification of beams of high-energy heavy charged particles (HCPs) and protons that will be used in the study—as well as testing for radiation resistance—of promising products of semiconductor micro- and nanoelectronics, solid-state microwave electronics, and micromechanical systems are considered. One of the main requirements for such beams is ensuring the desired range of linear energy transfer (LET). Two methods for changing the LET are considered, one of which is based on using the ions of various types (16O, 22Ne, 40Ar, 56Fe, 84Kr, 136Xe, 209Bi), and the other is based on using ion of the same type (197Au), but with different energies. The advantages of using both methods are considered and the problems arising when using the second method are analyzed. © 2019, Pleiades Publishing, Ltd