Browsing Department of Mathematics by Subject "Mathematical physics"
Now showing items 1-9 of 9
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Arbitrary Order, Hamiltonian Conserving Numerical Solutions of Calogero and Toda Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1990)**Please note that the full text is embargoed** ABSTRACT: For Calogero and Toda dynamical equations two numerical methods of arbitrary high order, conserving the Hamiltonian are developed. The methods consist of modifications ... -
Completely Conservative and Covariant Numerical Methodology for N-Body Problems With Distance-Dependent Potentials
(University of Texas at ArlingtonDepartment of Mathematics, 1992-01)**Please note that the full text is embargoed** ABSTRACT: We consider a general class of N-body problems for arbitrary, distance-dependent potentials. Completely conservative, covariant numerical methodology is established ... -
Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ... -
Monotone Method for Nonlinear Boundary Value Problems Arising in Transport Process
(University of Texas at ArlingtonDepartment of Mathematics, 1981-04)**Please note that the full text is embargoed** ABSTRACT: Recently, monotone iterative methods have been successfully employed to prove existence of multiple solutions and point-wise bounds on solutions of nonlinear ... -
A New Model of the Molecular Bond
(University of Texas at ArlingtonDepartment of Mathematics, 1991)**Please note that the full text is embargoed** ABSTRACT: It is assumed, on the basis of recent supercomputer calculations, that electrons attract, rather than repel. The consequences are explored by means of three dimensional, ... -
On Attractive Force Between Electrons in the Same Molecular Orbital
(University of Texas at ArlingtonDepartment of Mathematics, 1991)**Please note that the full text is embargoed** ABSTRACT: Is is assumed, on the basis of recent studies in particle theory, that two electrons in the same molecular orbital attract, rather than repel, and the consequences ... -
On Electron Attraction in the Diatomic Bond
(University of Texas at ArlingtonDepartment of Mathematics, 1991)**Please note that the full text is embargoed** ABSTRACT: Previously, it was shown that classical simulation of the ground state diatomic hydrogen, deuterium and tritium molecules yielded the correct vibrational frequencies ... -
Periodic Solution for Nonlinear Delay Equation in Higher Order
(University of Texas at ArlingtonDepartment of Mathematics, 1981-05)**Please note that the full text is embargoed** ABSTRACT: In recent years, the existence and uniqueness of 2n-period solution for (1.1) [see pdf for notation] where x E Rn, and e(t,u,v) is a given function with 2^-period ... -
Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ...