Application of B-splines to determining eigen-spectrum of Feshbach molecules
arXiv:0806.1368 · doi:10.1139/P08-075
Abstract
The B-spline basis set method is applied to determining the rovibrational eigen-spectrum of diatomic molecules. A particular attention is paid to a challenging numerical task of an accurate and efficient description of the vibrational levels near the dissociation limit (halo-state and Feshbach molecules). Advantages of using B-splines are highlighted by comparing the performance of the method with that of the commonly-used discrete variable representation (DVR) approach. Several model cases, including the Morse potential and realistic potentials with 1/R^3 and 1/R^6 long-range dependence of the internuclear separation are studied. We find that the B-spline method is superior to the DVR approach and it is robust enough to properly describe the Feshbach molecules. The developed numerical method is applied to studying the universal relation of the energy of the last bound state to the scattering length. We numerically illustrate the validity of the quantum-defect-theoretic formulation of such a relation for a 1/R^6 potential.
submitted to can j phys: Walter Johnson symposum
References in corpus (6)
- Production of cold molecules via magnetically tunable Feshbach resonances
- Quo vadis, cold molecules? - Editorial review
- High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
- Stabilization of Ultracold Molecules Using Optimal Control Theory
- Precise Control of Molecular Dynamics with a Femtosecond Frequency Comb - A Weak Field Route to Strong Field Coherent Control
- Spectroscopy of Ultracold, Trapped Cesium Feshbach Molecules
Cited by in corpus (3)
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