### 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 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*28*(1), 197-208. [022]. https://doi.org/10.1088/0305-4470/28/1/022

**Delta -kicked Landau levels.** / Dodonov, V. V.; Man'Ko, O. V.; Man'Ko, V. I.; Polynkin, Pavel G; Rosa, L.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 28, no. 1, 022, pp. 197-208. https://doi.org/10.1088/0305-4470/28/1/022

}

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 -