We employ the Markov approximation and the well-known Fresnel-integral to derive in ‘one-line’ the familiar expression for the Landau-Zener transition probability. Moreover, we provide numerical as well as analytical justifications for our approach, and identify three characteristic motions of the probability amplitude in the complex plane.
CITATION STYLE
Glasbrenner, E. P., & Schleich, W. P. (2023). The Landau-Zener formula made simple. Journal of Physics B: Atomic, Molecular and Optical Physics, 56(10). https://doi.org/10.1088/1361-6455/acc774
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