International Journal of Theoretical Physics

, Volume 47, Issue 4, pp 1095–1111 | Cite as

Geometric Phases for Wave Packets of the Landau Problem

Article
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Abstract

The Landau problem of a charged particle in a plane with a uniform perpendicular magnetic field is analysed in two oscillator modes. The coherent states for the problem have been found out using a general definition of displaced states. The time evolution and the associated nonadiabatic geometric phase for both initially displaced and non-displaced wave packets have been studied. The path integral is derived in a simple way through the calculation of Gaussian integrals via the concept of coherent state wavefunctions.

Keywords

Landau problem Harmonic oscillator Coherent state Time evolution Geometric phase Wave packet Gaussian 
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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Preparatory Institute for Engineering Studies (IPEIS)SfaxTunisia
  2. 2.Department of Physics, Faculty of SciencesUniversity of SfaxSfaxTunisia

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