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.
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Rhimi, M.N., El-Bahi, R. Geometric Phases for Wave Packets of the Landau Problem. Int J Theor Phys 47, 1095–1111 (2008). https://doi.org/10.1007/s10773-007-9538-4
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DOI: https://doi.org/10.1007/s10773-007-9538-4