4 citations · 4 across the 1 of their papers we have counts for
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A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds II: The Non--Symmetric Case
George A. Hagedorn, Alain Joye
We propose an alternative to the usual time--independent Born--Oppenheimer approximation that is specifically designed to describe molecules with non--symmetrical hydrogen bonds. I…
Recent Results on Non--Adiabatic Transitions in Quantum Mechanics
George A. Hagedorn, Alain Joye
We review mathematical results concerning exponentially small corrections to adiabatic approximations and Born--Oppenheimer approximations.
Determination of Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer Model
G. A. Hagedorn, A. Joye
We study non--adiabatic transitions in scattering theory for the time dependent molecular Schroedinger equation in the Born--Oppenheimer limit. We assume the electron Hamiltonian h…
Time Development of Exponentially Small Non-Adiabatic Transitions
George A. Hagedorn, Alain Joye
Optimal truncations of asymptotic expansions are known to yield approximations to adiabatic quantum evolutions that are accurate up to exponentially small errors. In this paper, we…