V. Ya. Golodets, G. N. Zholtkevich, “Markovian KMS states”, TMF, 56:1 (1983), 80–86; Theoret. and Math. Phys., 56:1 (1983), 686

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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 1, Pages 80–86 (Mi tmf2192)

This article is cited in 11 scientific papers (total in 11 papers)

Markovian KMS states

V. Ya. Golodets, G. N. Zholtkevich

Full-text PDF (415 kB) Citations (11)

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Abstract: Markovian KMS states on algebras of quasilocal observables are considered. Criteria for KMS states to be Markovian are proved in terms of modular groups and local density matrices. It is established that Markovian KMS states can be diagonalized.

Received: 09.11.1982

English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 1, Pages 686–690
DOI: https://doi.org/10.1007/BF01027543

Bibliographic databases:

Language: Russian

Citation: V. Ya. Golodets, G. N. Zholtkevich, “Markovian KMS states”, TMF, 56:1 (1983), 80–86; Theoret. and Math. Phys., 56:1 (1983), 686–690

Citation in format AMSBIB

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\paper Markovian KMS~states

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\pages 80--86

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\transl

\jour Theoret. and Math. Phys.

\yr 1983

\vol 56

\issue 1

\pages 686--690

\crossref{https://doi.org/10.1007/BF01027543}

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Linking options:

https://www.mathnet.ru/eng/tmf2192

https://www.mathnet.ru/eng/tmf/v56/i1/p80

This publication is cited in the following 11 articles:

Abdessatar Souissi, Farrukh Mukhamedov, “Entropy of quantum Markov states on Cayley trees”, J. Stat. Mech., 2022:9 (2022), 093101
Farrukh Mukhamedov, Abdessatar Souissi, “Refinement of quantum Markov states on trees”, J. Stat. Mech., 2021:8 (2021), 083103
Farrukh Mukhamedov, Abdessatar Souissi, “Diagonalizability of Quantum Markov States on Trees”, J Stat Phys, 182:1 (2021)
Farrukh Mukhamedov, Abdessatar Souissi, “Quantum Markov states on Cayley trees”, Journal of Mathematical Analysis and Applications, 473:1 (2019), 313
Mukhamedov F., Barhoumi A., Souissi A., “Phase Transitions for Quantum Markov Chains Associated with Ising Type Models on a Cayley Tree”, J. Stat. Phys., 163:3 (2016), 544–567
Accardi L., Mukhamedov F., Souissi A., “On Construction of Quantum Markov Chains on Cayley trees”, Algebra, Analysis and Quantum Probability, Journal of Physics Conference Series, 697, eds. Ayupov S., Chilin V., Ganikhodjaev N., Mukhamedov F., Rakhimov I., IOP Publishing Ltd, 2016, 012018
LUIGI ACCARDI, FRANCESCO FIDALEO, FARRUH MUKHAMEDOV, “MARKOV STATES AND CHAINS ON THE CAR ALGEBRA”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 10:02 (2007), 165
Fidaleo F., Mukhamedov F., “On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree”, Quantum Probability and Infinite Dimensional Analysis, Qp-Pq Quantum Probability and White Noise Analysis, 18, 2005, 237–251
Mukhamedov, F, “On a factor associated with the unordered phase of lambda-model on a Cayley tree”, Reports on Mathematical Physics, 53:1 (2004), 1
Mukhamedov, F, “On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras”, Journal of Statistical Physics, 114:3–4 (2004), 825
F. M. Mukhamedov, “Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice”, Theoret. and Math. Phys., 123:1 (2000), 489–493

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	72
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