Abstract
We discuss the explicit analytical solution for the motion of a charged quantum particle in a homogeneous magnetic field under the influence of a series of delta -kicks of a cyclotron frequency. Transition probabilities between the Landau levels due to kicking are expressed in terms of the Jacobi polynomials whose arguments contain the reflection coefficient from a series of delta -walls.
| Original language | English (US) |
|---|---|
| Article number | 022 |
| Pages (from-to) | 197-208 |
| Number of pages | 12 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1995 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
Cite this
Delta -kicked Landau levels. / Dodonov, V. V.; Man'Ko, O. V.; Man'Ko, V. I.; Polynkin, Pavel G; Rosa, L.
In: Journal of Physics A: Mathematical and General, Vol. 28, No. 1, 022, 1995, p. 197-208.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Delta -kicked Landau levels
AU - Dodonov, V. V.
AU - Man'Ko, O. V.
AU - Man'Ko, V. I.
AU - Polynkin, Pavel G
AU - Rosa, L.
PY - 1995
Y1 - 1995
N2 - We discuss the explicit analytical solution for the motion of a charged quantum particle in a homogeneous magnetic field under the influence of a series of delta -kicks of a cyclotron frequency. Transition probabilities between the Landau levels due to kicking are expressed in terms of the Jacobi polynomials whose arguments contain the reflection coefficient from a series of delta -walls.
AB - We discuss the explicit analytical solution for the motion of a charged quantum particle in a homogeneous magnetic field under the influence of a series of delta -kicks of a cyclotron frequency. Transition probabilities between the Landau levels due to kicking are expressed in terms of the Jacobi polynomials whose arguments contain the reflection coefficient from a series of delta -walls.
UR - http://www.scopus.com/inward/record.url?scp=0040711031&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0040711031&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/28/1/022
DO - 10.1088/0305-4470/28/1/022
M3 - Article
AN - SCOPUS:0040711031
VL - 28
SP - 197
EP - 208
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 1
M1 - 022
ER -