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Theoretical study of weakly bound vibrational states of the sodium trimer: numerical methods; prospects for the formation of Na3 in an
ultracold gas

Abstract : - A Mapped Fourier Grid method for solving the radial Schrödinger equation is improved. It is observed that a discrete sine and cosine transform algorithm allows to compute a Hamiltonian matrix the spectrum of which is free of spurious eigenvalues.
- The energies of the highest, least bound vibrational states of the Na - Na2 van der Waals complex are computed using a hyperspherical diabatic-by-sector method. The computed levels are analyzed using quantum defect theory.
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https://tel.archives-ouvertes.fr/tel-00011523
Contributor : Kai Willner <>
Submitted on : Friday, February 17, 2006 - 11:40:22 AM
Last modification on : Monday, February 15, 2021 - 10:37:39 AM
Long-term archiving on: : Saturday, April 3, 2010 - 10:26:43 PM

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  • HAL Id : tel-00011523, version 1

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Kai Willner. Theoretical study of weakly bound vibrational states of the sodium trimer: numerical methods; prospects for the formation of Na3 in an
ultracold gas. Atomic Physics [physics.atom-ph]. Université Paris Sud - Paris XI, 2005. English. ⟨tel-00011523⟩

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