Quantum Theory of Molecular Collisions in a Magnetic Field: Efficient Calculations Based on the Total Angular Momentum Representation
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Quantum Theory of Molecular Collisions in a Magnetic Field: Efficient Calculations Based on the Total Angular Momentum Representation
| Title: | Quantum Theory of Molecular Collisions in a Magnetic Field: Efficient Calculations Based on the Total Angular Momentum Representation |
| Author: |
Dalgarno, Alexander; Tscherbul, Timur V.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Tscherbul, Timur V. and Alexander Dalgarno. 2010. Quantum theory of molecular collisions in a magnetic field: Efficient calculations based on the total angular momentum representation. Journal of Chemical Physics 133(18): 184104. |
| Full Text & Related Files: |
Dalgarno_Quantum.pdf (348.2Kb; PDF) 
|
| Abstract: | An efficient method is presented for rigorous quantum calculations of atom-molecule and molecule-molecule collisions in a magnetic field. The method is based on the expansion of the wavefunction of the collision complex in basis functions with well-defined total angular momentum in the body-fixed coordinate frame. We outline the general theory of the method for collisions of diatomic molecules in the \(^{2}\Sigma\) and \(^{3}\Sigma\) electronic states with structureless atoms and with unlike \(^{2}\Sigma\) and \(^{3}\Sigma\) molecules. The cross sections for elastic scattering and Zeeman relaxation in low-temperature collisions of CaH(\(^{2}\Sigma^{+}\)) and NH(\(^{3}\Sigma^{-}\)) molecules with \(^{3}\)He atoms converge quickly with respect to the number of total angular momentum states included in the basis set, leading to a dramatic >10-fold enhancement in computational efficiency compared to the previously used methods [A. Volpi and J. L. Bohn, Phys. Rev. A 65, 052712 (2002); R. V. Krems and A. Dalgarno, J. Chem. Phys. 120, 2296 (2004)]. Our approach is thus well suited for theoretical studies of strongly anisotropic molecular collisions in the presence of external electromagnetic fields. |
| Published Version: | doi:10.1063/1.3503500 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:5141368 |
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