Abstract
A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.
| Original language | English |
|---|---|
| Pages (from-to) | 1068-1076 |
| Number of pages | 9 |
| Journal | Russian Physics Journal |
| Volume | 52 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1 Oct 2009 |
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Keywords
- Hartree-type equation
- Semiclassical approximation
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Formalism of semiclassical asymptotics for a two-component Hartree-type equation. / Smirnova, E. I.; Trifonov, A. Yu; Shapovalov, Aleksandr Vasilievich.
In: Russian Physics Journal, Vol. 52, No. 10, 01.10.2009, p. 1068-1076.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Formalism of semiclassical asymptotics for a two-component Hartree-type equation
AU - Smirnova, E. I.
AU - Trifonov, A. Yu
AU - Shapovalov, Aleksandr Vasilievich
PY - 2009/10/1
Y1 - 2009/10/1
N2 - A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.
AB - A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.
KW - Hartree-type equation
KW - Semiclassical approximation
UR - http://www.scopus.com/inward/record.url?scp=77950461135&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950461135&partnerID=8YFLogxK
U2 - 10.1007/s11182-010-9340-2
DO - 10.1007/s11182-010-9340-2
M3 - Article
AN - SCOPUS:77950461135
VL - 52
SP - 1068
EP - 1076
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 10
ER -