5,216 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
Capabilities and Governance the Rebirth of Production in the Theory of Economic Organization
We argue that since Coase’s seminal 1937 paper on “The Nature of the Firm,” there has been an odd and unjustified separation between price theory and the economics of organization. For example, matters of production has been the domain of the former exclusively. However, a new approach to economic organization, here called “the capabilities approach,” that places production center-stage in the explanation of economic organization, is now emerging. We discuss the sources of this approach and its relation to the mainstream economics of organization.Capability, Theory of the Firm, Price Theory
Massive scalar states localized on a de Sitter brane
We consider a brane scenario with a massive scalar field in the
five-dimensional bulk. We study the scalar states that are localized on the
brane, which is assumed to be de Sitter. These localized scalar modes are
massive in general, their effective four-dimensional mass depending on the mass
of the five-dimensional scalar field, on the Hubble parameter in the brane and
on the coupling between the brane tension and the bulk scalar field. We then
introduce a purely four-dimensional approach based on an effective potential
for the projection of the scalar field in the brane, and discuss its regime of
validity. Finally, we explore the quasi-localized scalar states, which have a
non-zero width that quantifies their probability of tunneling from the brane
into the bulk.Comment: 14 pages; 5 figure
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