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Updated: Jul 17, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Geometric constraints in semiclassical initial value representation calculations in Cartesian coordinates: excited
Bilkiss B Issack1, Pierre-Nicholas Roy
1Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada.
A new method accurately calculates excited states for weakly bound complexes using geometric constraints in semiclassical calculations. This approach offers a reliable way to study complex molecular systems.
Area of Science:
- Quantum Chemistry
- Computational Physics
Background:
- Semiclassical initial value representation (SC-IVR) calculations are a powerful tool for molecular simulations.
- Accurately determining excited states of weakly bound complexes remains a challenge.
- Geometric constraints can refine computational models but their integration into SC-IVR is complex.
Purpose of the Study:
- To adapt and validate a recently proposed method for incorporating geometric constraints into SC-IVR calculations.
- To assess the method's capability in calculating excited states of weakly bound systems.
- To compare the accuracy of the constrained SC-IVR approach with exact methods.
Main Methods:
- The study applies a novel approach for geometric constraint inclusion within SC-IVR.
- Sample calculations were performed on free and constrained rare gas clusters.
- Results were benchmarked against exact basis set calculations.
Main Results:
- The proposed method successfully obtains excited states for weakly bound complexes.
- Calculations on rare gas clusters demonstrated the approach's effectiveness.
- The constrained SC-IVR method yielded results with reasonable accuracy compared to exact calculations.
Conclusions:
- The adapted SC-IVR method with geometric constraints is a viable approach for calculating excited states.
- This technique provides accurate results for weakly bound complexes.
- The study validates the utility of incorporating geometric constraints in semiclassical calculations for complex systems.
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