4,234 research outputs found
High-precision evaluation of the Vibrational spectra of long-range molecules
Vibrational spectra of long-range molecules are determined accurately and to
arbitrary accuracy with the Canonical Function Method. The energy levels of the
and electronic states of the molecule are
determined from the Ground state up to the continuum limit. The method is
validated by comparison with previous results obtained by Stwalley et al. using
the same potential and Trost et al. whose work is based on the Lennard-Jones
potential adapted to long-range molecules.Comment: 19 pages, 5 figures and 6 tables. To be published in the G. Herzberg
memorial issue, Can. J. Physics Vol. 79 (2001
The Canonical Function Method and its applications in Quantum Physics
The Canonical Function Method (CFM) is a powerful method that solves the
radial Schr\"{o}dinger equation for the eigenvalues directly without having to
evaluate the eigenfunctions. It is applied to various quantum mechanical
problems in Atomic and Molecular physics with presence of regular or singular
potentials. It has also been developed to handle single and multiple channel
scattering problems where the phaseshift is required for the evaluation of the
scattering cross-section. Its controllable accuracy makes it a valuable tool
for the evaluation of vibrational levels of cold molecules, a sensitive test of
Bohr correspondance principle and a powerful method to tackle local and
non-local spin dependent problems.Comment: 30 pages, 12 figures- To submit to Reviews of Modern Physic
Bulk gravitons from a cosmological brane
We investigate the emission of gravitons by a cosmological brane into an Anti
de Sitter five-dimensional bulk spacetime. We focus on the distribution of
gravitons in the bulk and the associated production of `dark radiation' in this
process. In order to evaluate precisely the amount of dark radiation in the
late low-energy regime, corresponding to standard cosmology, we study
numerically the emission, propagation and bouncing off the brane of bulk
gravitons.Comment: 27 pages, 5 figures, minor corrections. Final versio
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