Delta -kicked Landau levels

V. V. Dodonov; O. V. Man'Ko; V. I. Man'Ko; P. G. Polynkin; L. Rosa

doi:10.1088/0305-4470/28/1/022

Delta -kicked Landau levels

V. V. Dodonov, O. V. Man'Ko, V. I. Man'Ko, P. G. Polynkin, L. Rosa

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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	https://doi.org/10.1088/0305-4470/28/1/022
State	Published - Dec 1 1995
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/28/1/022

Cite this

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title = "Delta -kicked Landau levels",

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.",

author = "Dodonov, {V. V.} and Man'Ko, {O. V.} and Man'Ko, {V. I.} and Polynkin, {P. G.} and L. Rosa",

year = "1995",

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AU - Dodonov, V. V.

AU - Man'Ko, O. V.

AU - Man'Ko, V. I.

AU - Polynkin, P. G.

AU - Rosa, L.

PY - 1995/12/1

Y1 - 1995/12/1

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.

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AN - SCOPUS:0040711031

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Delta -kicked Landau levels

Abstract

ASJC Scopus subject areas

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