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Analytic continuation of mayer and virial expansions
Springer Science and Business Media LLC - Tập 92 - Trang 791-798 - 1992
G. I. Kalmykov
Functions that under certain assumptions are analytic continuations of Mayer expansions are found. It is shown that there exists a positive numberρ 1 satisfying the following conditions: 1) for any interval of the form [0,ρ 1(1−ε)], where 0<ɛ<1, there exists a region containing this interval in which there is defined a single-valued analytic single-sheeted function that is the inverse with respect... hiện toàn bộ
Stochastic dynamo in critical situations
Springer Science and Business Media LLC - Tập 172 - Trang 1243-1262 - 2012
V. I. Klyatskin
Based on the functional method of consecutive approximations, we consider the problem of magnetic field excitation (stochastic dynamo) by a random velocity field with a finite temporal correlation radius. In critical situations, in the first (diffusion) approximation, the Lyapunov characteristic parameter of the magnetic field energy vanishes. This implies the absence of structure formation (clust... hiện toàn bộ
Oscillating universe in the case p≠0
Springer Science and Business Media LLC - Tập 58 - Trang 107-111 - 1984
É. G. Aman, M. A. Markov
Clocks and fisher information
Springer Science and Business Media LLC - Tập 165 - Trang 1552-1564 - 2010
Ping Chen, Shunlong Luo
In a broad sense, any parametric family of quantum states can be viewed as a quantum clock. The time, which is the parameter, is encoded in the corresponding quantum states. The quality of such a clock depends on how precisely we can distinguish the states or, equivalently, estimate the parameter. In view of the quantum Cramér—Rao inequalities, the quality of quantum clocks can be characterized by... hiện toàn bộ
General Form of the *-Commutator on the Grassmann Algebra
Springer Science and Business Media LLC - Tập 128 - Trang 1271-1292 - 2001
I. V. Tyutin
The general form of the *-commutator on the Grassmann algebra treated as a deformation of the conventional Poisson bracket is investigated. It is shown that in addition to the Moyal *-commutator, there exist other deformations of the Poisson bracket on the Grassman algebra (one additional deformation for even and odd n, where n is the number of the Grassmann algebra generators) that are not reduci... hiện toàn bộ
Theory of Generalized coherent states of the groups SU n
Springer Science and Business Media LLC - Tập 45 Số 1 - Trang 879-886 - 1980
V. P. Karasev, L. A. Shelepin
Perturbation theory series in quantum mechanics: Phase transition and exact asymptotic forms for the expansion coefficients
Springer Science and Business Media LLC - Tập 174 - Trang 360-385 - 2013
V. R. Fatalov
We consider the model of a harmonic oscillator with a power-law potential and derive new asymptotic formulas for the coefficients of the perturbation theory series in powers of the coupling constant in the case of a power-law perturbing potential |x|p, p > 0. We prove the existence of a critical value p 0 and compute it. It is a threshold in the sense that the asymptotic forms of the studied coeff... hiện toàn bộ
Hydrodynamic Reductions and Solutions of a Universal Hierarchy
Springer Science and Business Media LLC - Tập 140 - Trang 1073-1085 - 2004
L. Martínez Alonso, A. B. Shabat
We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.
Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids
Springer Science and Business Media LLC - Tập 154 - Trang 75-84 - 2008
B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk
We discuss the important role of the Zubarev nonequilibrium statistical operator method in the generalized molecular hydrodynamics of fluids. Using this method allows developing a consistent approach of generalized collective excitations for simple, ion, polar, magnetic, and some other fluids. We construct a nonequilibrium statistical operator and derive the corresponding transport equations for a... hiện toàn bộ
Complete ladder sets for U(6, 6)
Springer Science and Business Media LLC - Tập 24 - Trang 855-861 - 1975
I. S. Vaklev, S. B. Drenska, S. I. Zlatev, M. I. Ivanov, A. V. Nikolov
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