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The University of Southern Mississippi

Series

2005

Articles 1 - 2 of 2

Full-Text Articles in Physics

Induced Matter: Curved N-Manifolds Encapsulated In Riemann-Flat N+1 Dimensional Space, Harry I. Ringermacher, Lawrence R. Mead Oct 2005

Induced Matter: Curved N-Manifolds Encapsulated In Riemann-Flat N+1 Dimensional Space, Harry I. Ringermacher, Lawrence R. Mead

Faculty Publications

Liko and Wesson have recently introduced a new five-dimensional induced matter solution of the Einstein equations, a negative curvature Robertson-Walker space embedded in a Riemann-flat five-dimensional manifold. We show that this solution is a special case of a more general theorem prescribing the structure of certain N+1 dimensional Riemann-flat spaces which are all solutions of the Einstein equations. These solutions encapsulate N-dimensional curved manifolds. Such spaces are said to "induce matter" in the submanifolds by virtue of their geometric structure alone. We prove that the N-manifold can be any maximally symmetric space. (c) 2005 American Institute of Physics.


Relative Charge Transfer Cross Section From Rb(4d), M.H. Shah, H.A. Camp, M.L. Trachy, X. Fléchard, M.A. Gearba, H. Nguyen, R. Brédy, S.R. Lundeen, B.D. Depaola Aug 2005

Relative Charge Transfer Cross Section From Rb(4d), M.H. Shah, H.A. Camp, M.L. Trachy, X. Fléchard, M.A. Gearba, H. Nguyen, R. Brédy, S.R. Lundeen, B.D. Depaola

Faculty Publications

Relative charge transfer cross section measurements for the excited state Rb (4d) with 7 keV Na+ is reported. The specific channels reported as Na+ + Rb (4d5/2) → Na (nl) + Rb+, where the dominant transfer cross sections channels were nl = 3d and 4s. Using a combination of a magneto-optical trap and recoil ion momentum spectroscopy (MOTRIMS methodology), the cross sections were measured relative to the previously studied Na+ + Rb (5s, 5p) systems at the same collision energy.