Modern trends in Green’s functions: theory and applications
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| Datum: | 2006 |
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Інститут фізики конденсованих систем НАН України
2006
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| Schriftenreihe: | Condensed Matter Physics |
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| Zitieren: | Modern trends in Green's functions: theory and applications / V. Morozov, N. Plakida, I. Stasyuk // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 413-414. — англ. |
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irk-123456789-1213632017-06-15T03:03:31Z Modern trends in Green’s functions: theory and applications Morozov, V. Plakida, N. Stasyuk, I. 2006 Article Modern trends in Green's functions: theory and applications / V. Morozov, N. Plakida, I. Stasyuk // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 413-414. — англ. 1607-324X DOI:10.5488/CMP.9.3.413 http://dspace.nbuv.gov.ua/handle/123456789/121363 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
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Article |
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Morozov, V. Plakida, N. Stasyuk, I. |
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Morozov, V. Plakida, N. Stasyuk, I. Modern trends in Green’s functions: theory and applications Condensed Matter Physics |
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Morozov, V. Plakida, N. Stasyuk, I. |
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Morozov, V. |
| title |
Modern trends in Green’s functions: theory and applications |
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Modern trends in Green’s functions: theory and applications |
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Modern trends in Green’s functions: theory and applications |
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Modern trends in Green’s functions: theory and applications |
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Modern trends in Green’s functions: theory and applications |
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modern trends in green’s functions: theory and applications |
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Інститут фізики конденсованих систем НАН України |
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2006 |
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http://dspace.nbuv.gov.ua/handle/123456789/121363 |
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Modern trends in Green's functions: theory and applications / V. Morozov, N. Plakida, I. Stasyuk // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 413-414. — англ. |
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Condensed Matter Physics |
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2025-07-08T19:43:16Z |
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2025-07-08T19:43:16Z |
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1837109136815292416 |
| fulltext |
Condensed Matter Physics 2006, Vol. 9, No 3(47), pp. 413–414
Modern trends in Green’s functions: theory and
applications
The purpose of this issue is to highlight the achievements in the development of Green’s functi-
ons (GF) method and its applications in recent years. Despite a rather long history of the method,
it remains a powerful one and is successfully used in considering the many-particle interactions in
problems of statistical physics. A new impulse to its development in the theory of equilibrium sys-
tems has been given in the last years by the intense outburst of investigations in the field of strongly
correlated electron systems. One can mention, in particular, an elaboration of the dynamical mean
field theory, the renascence of Kadanoff and Baym ideas and approach. Recent developments of
the GF method are connected with consideretaion of systems where the simple diagram technique
for the Matsubara GF of the Fermi- Boze-operators cannot be applyed. This results in develop-
ing of some kind of self-consistent calculations, as the equation of motion method, the generating
functional approach, etc. The objects of investigations are high-Tc superconductors, valence change
compounds, Mott-Hubbard dielectrics etc.
Our task is also to elucidate a modern state of the method of non-equilibrium GF and its
development in application to the kinetic theory, thermo-field dynamics, application of GF to
non-equilibrium phenomena in condensed matter and description of many-particle correlations in
relaxation processes.
The papers in this collection are grouped according to their main focus. The first part is
composed of papers devoted to the equilibrium GF. Review of the renormalization methods in
the many-body perturbation theory is given by V. Janǐs. The way of constructing the Lattinger-
Ward functional is developed by M. Potthoff. The ergodicity issue in strongly correlated systems
is considered by F. Mancini and A. Avella using Green’s function formalism; the question of
nonergodicity in spectral relations for multi-time correlation functions is discussed by A.M. Shvaika.
The analysis of the spectrum of the s-d-exchange model within the framework of the generating
functional approach is given by Yu.A. Izyumov, N.I. Chaschin and D.S. Alexeev. Such an approach
is also extended to the dynamical mean field theory and applied to the asymmetric Hubbard model
by I.V. Stasyuk and O.B. Hera. F. Mancini and A. Avella give a brief review of the composite
operator method in the theory of strongly correlated electron systems. A formulation of Green’s
function method in the theory of superconductivity for various types of pairing is considered by
N.M. Plakida. An application of the method to the more elaborate study of the Hubbard model
spectrum is made by A. Sherman.
In the second part of the issue the papers are collected, which are connected with the method of
non-equilibrium Green’s functions. An extended quasiparticle approximation for relativistic elec-
trons in plasma within the path-ordered Green’s function formalism is developed by V.G. Morozov
and G. Röpke. Short-time kinetics and initial correlations in quantum systems are considered by
D. Kremp, D. Semkat and Th. Bornath. The theory of nonlinear Peltier effect in relation to the
nonequilibrium Jonson-Mahan theorem is given by Y.K. Freericks and V. Zlatić. The Green’s
functions of systems with bound states and the response to the external electromagnetic field are
analyzed by Yu.V. Slyusarenko and A.G. Sotnikov. A reduced description of the nonequilibrium
processes and time correlation functions is proposed by A.I. Sokolovsky. Nonequilibrium prop-
erties of inhomogeneous electron gas are studied by P. Kostrobii, B. Markovych, A. Vasylenko,
M. Tokarchuk and Yu. Rudavskii using the Zubarev method of nonequilibrium statistical operator
and the Green’s functions approach.
c© V.Morozov, N.Plakida, I.Stasyuk 413
We express our gratitude to all the authors for their readiness to participate in the issue and
for their cooperation. We also thank Vasyl Ignatyuk, Andrij Shvaika and Taras Mysakovych for
their help and technical assistance.
V. Morozov, N. Plakida, I. Stasyuk
414
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