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  • 1
    Electronic Resource
    Electronic Resource
    Non-adiabatic effects in the time dependent level crossing problem (1984)
    Springer
    The European physical journal 319 (1984), S. 159-165 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We discuss the exact solution of the time-dependent Schrödinger equation for a system of two crossing levels with a residual interaction. In contrast to the familiar Landau-Zener (LZ) solution used in most applications, we allow for more general boundary conditions; in particular we treat explicitly the case of afinite interval around the crossing point. The exact jumping probability is shown to be extremely sensitive to these boundary conditions; in many realistic cases it is found to be smaller than the LZ value by several orders of magnitude. We also compare the exact excitation energy to the one obtained in the usual cranking approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01415629
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