2019
Том 71
№ 6

All Issues

Barbulyak V. S.

Articles: 2
Article (Ukrainian)

Periodic Gibbs states

Barbulyak V. S., Kondratiev Yu. G.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 451–458

Periodic Gibbs states for quantum lattice systems are investigated. We formulate the definition of the periodic Gibbs states and the measures associated with them. Theorems of existence are proved for these states. We also prove the existence of the critical temperature for the system of anharmonic quantum oscillators with pairwise interaction.

Article (Ukrainian)

Chessboard estimates and critical temperature in quantum lattice systems

Barbulyak V. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1991. - 43, № 11. - pp. 1574–1578