The Landau-Zener formula made simple

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Abstract

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.

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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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