A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates

Details A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates

2000-05-03

arxiv.org/abs/math-ph/0005006v1

Physics

Mathematical Physics

Scientific paper

10.1007/s002200100562

We present the construction of an exponentially accurate time-dependent Born-Oppenheimer approximation for molecular quantum mechanics. We study molecular systems whose electron masses are held fixed and whose nuclear masses are proportional to $\epsilon^{-4}$, where $\epsilon$ is a small expansion parameter. By optimal truncation of an asymptotic expansion, we construct approximate solutions to the time-dependent Schr\"odinger equation that agree with exact normalized solutions up to errors whose norms are bounded by $\ds C \exp(-\gamma/\epsilon^2)$, for some C and $\gamma>0$.

Affiliated with

Also associated with

No associations

Rating

A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231251