Born-Oppenheimer dynamics is shown to provide an accurate approximation of time-independent Schrödinger observables for a molecular system with an electron spectral gap, in the limit of large ratio of nuclei and electron masses, without assuming that the nuclei are localized to vanishing domains. The derivation, based on a Hamiltonian system interpretation of the Schrödinger equation and stabil...

We calculate the subleading terms in the Born–Oppenheimer expansion for the effective zero-mode Hamiltonian of N = 1, d = 4 supersymmetric Yang–Mills theory with any gauge group. The Hamiltonian depends on 3r abelian gauge potentials Ak (k = 1, 2, 3, s = 1, . . . , r, r is the rank of the group), and their superpartners. The Hamiltonian belongs to the class ofN = 2 supersymmetric QM Hamiltonian...

New experimental and theoretical rate constants for two isotopologs of the simplest chemical reaction, H+H2-->H2+H, are presented. The theoretical results are obtained using accurate quantum dynamics with a converged Born-Oppenheimer potential energy surface and include non-Born-Oppenheimer corrections. The new experiments are carried out using a shock tube and complement earlier investigations...

I examine the hypothesis that many of the high velocity white dwarfs observed by Oppenheimer et al. (2001) are the remnants of donor stars from binaries that produced type Ia supernovae via the ‘single degenerate’ channel. If this channel is a significant contributor to the Galactic SN Ia supernova rate, then the local density of such remnants with V⊥ > 100 km.s −1 could be as high as 2×10pc, c...

The purpose of this paper has been to develop a systematic approach for classifying and distinguishing the relative orders of approximation of various types of couplings like the vibronic (Herzberg-Teller) couplings and Born-Oppenheimer couplings, and for studying the importance of the anharmonicity in the quantitative calculation of the spectral intensity and electronic relaxation. It will be ...