N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev, “Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian”, Russian Math. Surveys, 39:6 (1984), 1

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Russian Mathematical Surveys, 1984, Volume 39, Issue 6, Pages 1–50
DOI: https://doi.org/10.1070/RM1984v039n06ABEH003180 (Mi rm2502)

This article is cited in 17 scientific papers (total in 17 papers)

Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian

N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev

English version PDF (2163 kB) Citations (17) Russian version article

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DOI: https://doi.org/10.1070/RM1984v039n06ABEH003180

Received: 21.05.1984

Bibliographic databases:

Document Type: Article

UDC: 531.19

MSC: 82B10, 82B23, 82B30, 82B20

Language: English

Original paper language: Russian

Citation: N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev, “Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian”, Russian Math. Surveys, 39:6 (1984), 1–50

Citation in format AMSBIB

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\paper Some classes of~exactly soluble models of~problems in~quantum statistical mechanics: the~method of~the~approximating Hamiltonian

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\yr 1984

\vol 39

\issue 6

\pages 1--50

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Linking options:

https://www.mathnet.ru/eng/rm2502

https://doi.org/10.1070/RM1984v039n06ABEH003180

https://www.mathnet.ru/eng/rm/v39/i6/p3

This publication is cited in the following 17 articles:

Jean-Bernard Bru, Walter de Siqueira Pedra, Kauê Rodrigues Alves, Springer INdAM Series, 58, Quantum Mathematics II, 2023, 247
Bru J.-B., Pedra W. de Siqueira, “Classical Dynamics Generated By Long-Range Interactions For Lattice Fermions and Quantum Spins”, J. Math. Anal. Appl., 493:1 (2021), 124434
N. S. Tonchev, “Statistical Mechanics of Thermal Fluctuations of Nearly Spherical Membranes: the Influence of Bending and Stretching Elasticities”, Phys. Part. Nuclei, 52:2 (2021), 290
Alberto Fachechi, “PDE/Statistical Mechanics Duality: Relation Between Guerra's Interpolated p-Spin Ferromagnets and the Burgers Hierarchy”, J Stat Phys, 183:1 (2021)
Elena Agliari, Francesco Alemanno, Adriano Barra, Alberto Fachechi, “Generalized Guerra's interpolation schemes for dense associative neural networks”, Neural Networks, 128 (2020), 254
W. F. Wreszinski, V. A. Zagrebnov, “Bogoliubov quasiaverages: Spontaneous symmetry breaking and the algebra of fluctuations”, Theoret. and Math. Phys., 194:2 (2018), 157–188
Adriano Barra, Andrea Di Lorenzo, Francesco Guerra, Antonio Moro, “On quantum and relativistic mechanical analogues in mean-field spin models”, Proc. R. Soc. A., 470:2172 (2014), 20140589
Jan Dereziński, Krzysztof A. Meissner, Marcin Napiórkowski, “On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas”, Ann. Henri Poincaré, 2012
J.-B. Bru, W. de Siqueira Pedra, “Inhomogeneous Fermi and quantum spin systems on lattices”, J. Math. Phys, 53:12 (2012), 123301
T. C. Dorlas, L. A. Pastur, V. A. Zagrebnov, “Condensation in a Disordered Infinite-Range Hopping Bose–Hubbard Model”, J Statist Phys, 124:5 (2006), 1137
J. G Brankov, N. S Tonchev, V. A Zagrebnov, “Comment on “Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement” by J. Reslen et al.”, Europhys Lett, 72:1 (2005), 151
T C Dorlas, W Skrypnik, “Two order parameters in quantum XZ spin models with Gibbsian ground states”, J Phys A Math Gen, 37:26 (2004), 6623
Joseph V Pulé, Valentin A Zagrebnov, “The approximating Hamiltonian method for the imperfect boson gas”, J Phys A Math Gen, 37:38 (2004), 8929
Sergey P. Kuznetsov, “Torus fractalization and intermittency”, Phys Rev E, 65:6 (2002), 066209
J-B Bru, V A Zagrebnov, J Phys A Math Gen, 31:47 (1998), 9377
H. Chamati, “Tricritical Behaviour in a Simple Model of an Itinerant Antiferromagnet”, phys stat sol (b), 182:1 (1994), 189
H. Chamati, N. S. Tonchev, “Symmetry breaking and long-range order: An n-component model of a structural phase transition”, Phys Rev B, 49:6 (1994), 4311

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

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Abstract page:	793
Russian version PDF:	195
English version PDF:	31
References:	85
First page:	2

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