2017
Том 69
№ 9

All Issues

Periodic Gibbs states

Barbulyak V. S., Kondratiev Yu. G.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 481-489.

Citation Example: Barbulyak V. S., Kondratiev Yu. G. Periodic Gibbs states // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 451–458.

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