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We correct the proof of Brundobler-Elser formula (BEF) provided in [2004\textit{J. Phys. B: At. Mol. Opt. Phys.} \textbf{37} 4069] and continued inAppendix of [2005 \textit{J. Phys. B: At. Mol. Opt. Phys.} \textbf{38} 907].After showing that some changes of variables employed in these articles areused erroneously, we propose an alternative change of variables which solvesthe problem. In our proof, we reveal the connection between the BEF for ageneral $N$-level Landau-Zener system and the exactly solvable bow-tie model.The special importance of the diabatic levels with maximum/minimum slope isemphasized throughout.Comment: 10 page

Comment on ‘Exact results for survival probability in the multistate Landau–Zener model’