Abstract
On the basis of the complex WKB-Maslov method, semiclassical. trajectory-coherent, quasi-energy states are constructed for the one-dimensional Sclirödinger equation with the potential corresponding to the well-known classical Duffing equation with a time-periodic driving force. Classical objects required to construct semiclassical quasi-energy states are determined by converging series in powers of a small parameter included in the potential. Leading terms of these series are calculated.
| Original language | English |
|---|---|
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Russian Physics Journal |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2000 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schrödinger equation. / Baranov, V. D.; Belov, V. V.; Trifonov, A. Yu.
In: Russian Physics Journal, Vol. 43, No. 1, 01.01.2000, p. 1-5.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schrödinger equation
AU - Baranov, V. D.
AU - Belov, V. V.
AU - Trifonov, A. Yu
PY - 2000/1/1
Y1 - 2000/1/1
N2 - On the basis of the complex WKB-Maslov method, semiclassical. trajectory-coherent, quasi-energy states are constructed for the one-dimensional Sclirödinger equation with the potential corresponding to the well-known classical Duffing equation with a time-periodic driving force. Classical objects required to construct semiclassical quasi-energy states are determined by converging series in powers of a small parameter included in the potential. Leading terms of these series are calculated.
AB - On the basis of the complex WKB-Maslov method, semiclassical. trajectory-coherent, quasi-energy states are constructed for the one-dimensional Sclirödinger equation with the potential corresponding to the well-known classical Duffing equation with a time-periodic driving force. Classical objects required to construct semiclassical quasi-energy states are determined by converging series in powers of a small parameter included in the potential. Leading terms of these series are calculated.
UR - http://www.scopus.com/inward/record.url?scp=52849090134&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=52849090134&partnerID=8YFLogxK
U2 - 10.1007/BF02512999
DO - 10.1007/BF02512999
M3 - Article
VL - 43
SP - 1
EP - 5
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 1
ER -