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Recent Results on Non--Adiabatic Transitions in Quantum Mechanics, and . ArXiv Mathematical Physics e-prints, (November 2005)In Recent Advances in Differential Equations and Mathematical Physics, ed. by N. Chernov, Y. Karpeshina, I. Knowles, R. Lewis, and R. Weikard. AMS Contemporary Mathematics Series , 412, p. 183--198 2006..Mathematical analysis of the Born-Oppenheimer approximations, and . Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday. Part 1, volume 76 of AMS Proc. Sympos. Pure Math., page 203-26. Providence, Amer. Math. Soc., (2007)Elementary exponential estimates for the adiabatic approximation, and . J. Math. Anal. Appl., (2002)High order corrections to the time-independent Born-Hoppenheimer approximation. -- I. Smooth potentials. Ann. Inst. Henri Poincaré A, (1987)