Investigation of systems with quadratic interaction by the method of functional derivatives

1979 ◽  
Vol 41 (2) ◽  
pp. 1020-1028 ◽  
Author(s):  
A. I. Ivanov ◽  
G. S. Lomakin ◽  
O. A. Ponomarev
Keyword(s):  
Functional Derivatives ◽  
Quadratic Interaction

Induction and Differentiation of Dental Epithelium in Vivo and in Vitro

1982 ◽  
Vol 40 ◽  
pp. 142-145
Author(s):  
E. J. Kollar
Keyword(s):  
Connective Tissue ◽  
Oral Mucosa ◽  
Basal Lamina ◽  
Functional Derivatives ◽  
Specific Source ◽  
Dental Epithelium ◽  
Connective Tissue Stroma

The differentiation and maintenance of many specialized epithelial structures are dependent on the underlying connective tissue stroma and on an intact basal lamina. These requirements are especially stringent in the development and maintenance of the skin and oral mucosa. The keratinization patterns of thin or thick cornified layers as well as the appearance of specialized functional derivatives such as hair and teeth can be correlated with the specific source of stroma which supports these differentiated expressions.

ChemInform Abstract: BROMINATION OF FUNCTIONAL DERIVATIVES OF SOME VINYLACETYLENE HYDROCARBONS AND SILICON HYDROCARBONS

1976 ◽  
Vol 7 (44) ◽  
pp. no-no
Author(s):  
T. R. BORONOEVA ◽  
N. N. BELYAEV ◽  
M. D. STADNICHUK ◽  
A. A. PETROV
Keyword(s):  
Functional Derivatives ◽  
Derivatives Of

Extension of Standard Model in multi-spinor field formalism — Visible and dark sectors

2016 ◽  
Vol 31 (18) ◽  
pp. 1630027
Author(s):  
Ikuo S. Sogami
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Dark Sector ◽  
Quadratic Interaction ◽  
Inflationary Phase ◽  
The Standard Model ◽  
Visible Sector ◽  
Field Formalism ◽  
Main Component ◽  
Higgs Fields

With multi-spinor fields which behave as triple-tensor products of the Dirac spinors, the Standard Model is extended so as to embrace three families of ordinary quarks and leptons in the visible sector and an additional family of exotic quarks and leptons in the dark sector of our Universe. Apart from the gauge and Higgs fields of the Standard Model symmetry G, new gauge and Higgs fields of a symmetry isomorphic to G are postulated to exist in the dark sector. It is the bi-quadratic interaction between visible and dark Higgs fields that opens a main portal to the dark sector. Breakdowns of the visible and dark electroweak symmetries result in the Higgs boson with mass 125 GeV and a new boson which can be related to the diphoton excess around 750 GeV. Subsequent to a common inflationary phase and a reheating period, the visible and dark sectors follow weakly-interacting paths of thermal histories. We propose scenarios for dark matter in which no dark nuclear reaction takes place. A candidate for the main component of the dark matter is a stable dark hadron with spin 3/2, and the upper limit of its mass is estimated to be 15.1 GeV/c2.

Functional derivatives of thiophene

1973 ◽  
Vol 9 (8) ◽  
pp. 951-952 ◽  
Author(s):  
V. I. Shvedov ◽  
V. K. Vasil'eva ◽  
O. B. Romanova ◽  
A. N. Grinev
Keyword(s):  
Functional Derivatives ◽  
Derivatives Of

scholarly journals The validity of modulation equations for extended systems with cubic nonlinearities

1992 ◽  
Vol 122 (1-2) ◽  
pp. 85-91 ◽  
Author(s):  
Pius Kirrmann ◽  
Guido Schneider ◽  
Alexander Mielke
Keyword(s):  
Gordon Equation ◽  
Landau Equation ◽  
Hyperbolic Problems ◽  
Sine Gordon Equation ◽  
Ginzburg Landau ◽  
Modulation Equation ◽  
Modulation Equations ◽  
Quadratic Interaction ◽  
Long Time ◽  
Dissipative Case

SynopsisModulation equations play an essential role in the understanding of complicated systems near the threshold of instability. Here we show that the modulation equation dominates the dynamics of the full problem locally, at least over a long time-scale. For systems with no quadratic interaction term, we develop a method which is much simpler than previous ones. It involves a careful bookkeeping of errors and an estimate of Gronwall type.As an example for the dissipative case, we find that the Ginzburg–Landau equation is the modulation equation for the Swift–Hohenberg problem. Moreover, the method also enables us to handle hyperbolic problems: the nonlinear Schrodinger equation is shown to describe the modulation of wave packets in the Sine–Gordon equation.

Functional derivatives of inorganic acids

1974 ◽  
Vol 51 (1) ◽  
pp. 43
Author(s):  
W. C. Fernelius ◽  
Kurt Loening ◽  
Roy M. Adams
Keyword(s):  
Inorganic Acids ◽  
Functional Derivatives ◽  
Derivatives Of

ChemInform Abstract: Synthesis of 4,5-Dichloro-3-cyanoisothiazole and Its Functional Derivatives.

ChemInform ◽  
2009 ◽  
Vol 40 (6) ◽  
Author(s):  
V. I. Potkin ◽  
Yu. S. Zubenko ◽  
N. I. Nechai ◽  
A. I. Bykhovets ◽  
P. V. Kurman
Keyword(s):  
Functional Derivatives
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