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Mapped Grid Methods Applied to the Slow Variable Discretization--Enhanced Renormalized Numerov Approach.
Juan Blandon1,2, Gregory A Parker2, Christopher Madrid1
1Department of Physics and Geosciences, Angelo State University , San Angelo, Texas 76909, United States.
The Journal of Physical Chemistry. A
|January 23, 2016
Summary
We developed a new hyperspherical coordinate mapping for atom-dimer scattering calculations. This method improves accuracy and cost-effectiveness for cold and ultracold atom interactions.
Area of Science:
- Atomic and Molecular Physics
- Quantum Chemistry
- Scattering Theory
Background:
- Accurate calculations of atom-dimer scattering are crucial for understanding cold and ultracold atomic systems.
- Existing numerical methods can be computationally expensive and limited in accuracy for complex potentials.
Purpose of the Study:
- To introduce a novel hyperspherical coordinate mapping procedure for the slow variable discretization-enhanced renormalized Numerov method.
- To enhance the accuracy and cost-effectiveness of calculating cold and ultracold atom-dimer scattering.
- To optimize numerical grid point spacing based on interaction potential characteristics.
Main Methods:
- Implementation of a hyperspherical coordinate mapping within the slow variable discretization-enhanced renormalized Numerov method.
- Optimization of numerical grid point spacing tailored to the interaction potential's shape.
- Application to elastic scattering calculations for the HeH2 system.
Main Results:
- Demonstrated improved accuracy and computational efficiency for atom-dimer scattering.
- Successfully adapted the numerical grid to the specific interaction potential.
- Achieved comparable or improved results to established methods like MOLSCAT.
Conclusions:
- The hyperspherical coordinate mapping procedure offers a more accurate and efficient approach to atom-dimer scattering.
- This method provides a flexible way to optimize calculations for various interaction potentials.
- The technique is validated by successful application to the HeH2 system.
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