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Efficient Nonlinear Parameter Estimation for Exponential Type, Least Square Approximation
(University of Texas at Arlington, 1985-03)
**Please note that the full text is embargoed** ABSTRACT: A computer algorithm is described for fitting data sets by least
squares to the functions [see pdf for notation]. A non matrix form of Newton's method is utilized ...
Hydrogenic Formulas for Excited States of the Atoms Through Carbon
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: One of the beautiful consequences of Bohr's simplistic theory for hydrogen was a single formula for the excited states of the atom. Since this formula can be stated ...
Semiclassical Modeling of the H2 Covalent Bond
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: A semiclassical model is developed for the covalent bond of the H2 molecule. The model utilizes a classical analogue of electron pairing and requires an electron ...
Analytical and Numerical Studies on the States of Ions and Atoms
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: A speculative model is described which refines and extends the method of Bohr to various atoms and ions which have four or fewer electrons. The results for ground, ...
Rapid Computation of the Energy States of Two-Electron Systems
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: A new deterministic approach to modelling atoms and molecules is developed which uses static and dynamic numerical methods. The estimate for the ground state energy ...
Rapid Approximation of the Energy States of Three-Electron Systems
(University of Texas at Arlington, 1985-03)
**Please note that the full text is embargoed** ABSTRACT: In this paper, we show how to approximate rapidly the energy states of systems with one electron in the second ring. Using known energy states and average radii of ...
Particle Simulation of Spiral Galaxy Evolution
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: Spiral galaxies are modelled as n-body systems by means of long range and molecular-type short range forces. A relatively massive, elliptic, type core is sit into ...
Rapid Computation of the Energy States of Two-Electron Atoms and Ions with an Explicit Formula for the Excited States of Helium
(University of Texas at Arlington, 1985-05)
**Please note that the full text is embargoed** ABSTRACT: A new computational approach is
developed for the energy states of
two electron atoms and ions. The
theory incorporates a classical
interpretation of electron ...
Semiclassical Modeling of the States and Spectra of Para Hellium Singlets
(University of Texas at Arlington, 1985-12)
**Please note that the full text is embargoed** ABSTRACT: It is commonly believed that the excited states of helium are solutions of the Schroedinger equation for helium. We show first that this is, in general, false by ...