Ceotto, MicheleValleau, StephanieTantardini, Gian FrancoAspuru-Guzik, Alan2012-03-182011Ceotto, Michele, Stéphanie Valleau, Gian Franco Tantardini, and Alán Aspuru-Guzik. 2011. First principles semiclassical calculations of vibrational eigenfunctions. Journal of Chemical Physics 134(23), 234103.0021-96061089-7690http://nrs.harvard.edu/urn-3:HUL.InstRepos:8404289Vibrational eigenfunctions are calculated on-the-fly using semiclassical methods in conjunction with ab initio density functional theory classical trajectories. Various semiclassical approximations based on the time-dependent representation of the eigenfunctions are tested on an analytical potential describing the chemisorption of CO on Cu(100). Then, first principles semiclassical vibrational eigenfunctions are calculated for the \(CO_2\) molecule and its accuracy evaluated. The multiple coherent states initial value representations semiclassical method recently developed by us has shown with only six ab initio trajectories to evaluate eigenvalues and eigenfunctions at the accuracy level of thousands trajectory semiclassical initial value representation simulations.en-UScarbon compoundschemisorptioncopperdensity functional theoryeigenvalues and eigenfunctionsinitial value problemspotential energy surfacesvibrational statesab initio calculationsJournal Article2012-03-1810.1063/1.3599469