Convergence of perturbation-theory series in the problem of propagation of short waves in a randomly inhomogeneous medium

1973 ◽  
Vol 16 (7) ◽  
pp. 824-829
Author(s):  
Yu. N. Barabanenkov
Keyword(s):  
Perturbation Theory ◽  
Inhomogeneous Medium ◽  
Short Waves ◽  
Theory Series

Perturbation theory for the spectrum of normal waves in a stratified inhomogeneous medium

1983 ◽  
Vol 26 (2) ◽  
pp. 151-156
Author(s):  
A. V. Kukushkin ◽  
V. D. Freilikher ◽  
I. M. Fuks
Keyword(s):  
Perturbation Theory ◽  
Inhomogeneous Medium ◽  
Normal Waves

Calculation of vibrational HDO energy levels: Analysis of perturbation theory series

2013 ◽  
Vol 114 (3) ◽  
pp. 359-367 ◽  
Author(s):  
A. D. Bykov ◽  
K. V. Kalinin ◽  
A. N. Duchko
Keyword(s):  
Perturbation Theory ◽  
Energy Levels ◽  
Theory Series

The calculation of higher-order energies in the many-body perturbation theory series

1985 ◽  
Vol 113 (1) ◽  
pp. 8-12 ◽  
Author(s):  
P.J. Knowles ◽  
K. Somasundram ◽  
N.C. Handy ◽  
K. Hirao
Keyword(s):  
Perturbation Theory ◽  
Higher Order ◽  
Many Body ◽  
Many Body Perturbation Theory ◽  
The Many ◽  
Theory Series

scholarly journals WEAK QUENCHED DISORDER AND CRITICALITY: RESUMMATION OF ASYMPTOTIC(?) SERIES

2002 ◽  
Vol 16 (27) ◽  
pp. 4027-4079 ◽  
Author(s):  
YU. HOLOVATCH ◽  
V. BLAVATS'KA ◽  
M. DUDKA ◽  
C. VON FERBER ◽  
R. FOLK ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Critical Behavior ◽  
Asymptotic Series ◽  
Analytical Description ◽  
Quenched Disorder ◽  
Site Disorder ◽  
Disordered Models ◽  
Random Site ◽  
Theoretical Results ◽  
Theory Series

In this review paper, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of the available experimental and theoretical results as well as results of MC simulations of these phenomena. We concentrate on three cases: (i) uncorrelated random-site disorder, (ii) long-range correlated random-site disorder, and (iii) random anisotropy. Today, the standard analytical description of critical behavior is given by renormalization group results refined by resummation of the perturbation theory series. The convergence properties of the series are unknown for most disordered models. The main object of this review is to discuss the peculiarities of the application of resummation techniques to perturbation theory series of disordered models.

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