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High Energy and Nuclear Seminar (Fall 08)The group has a weekly Friday seminar as well as Tuesday brown bag lunch meeting. The later generally involves a talk by students or other members of the group, and offers an informal settings for discussion of current issues. |
Past Seminars: Spring 07 |
Mathematical Physics Seminar
A Linear Schrodinger Formulation of (d+1)-dimensional Bianchi I scalar field cosmology and its connection with Bose-Einstein condensation
Jennie D'Ambroise
UMass, Department of Mathematics
Sep 10th, 2008, 3:00pm
LGRT 1033
Various authors such as J. Lidsey, T. Christodoulakis, T. Grammenos, C. Helias, P. Kevrekidis, G. Papadopoulos and F. Williams are known to have formulated equivalent versions of the 3+1-dimensional Einstein's field equations in terms of a so-called generalized Ermakov-Milne-Pinney (EMP) differential equation. This reformulation provides an alternate method for acquiring exact solutions to the field equations, and has been accomplished within the frameworks of FRLW and some Bianchi universe models. Further inspired by an EMP-Schrodinger correspondence as noted by J. Lidsey, the author has recently published a linear Schrodinger version of the Bianchi I scalar field cosmology. This model has now been extended to an arbitrary number of spatial dimensions, and will be presented here. We will additionally comment on this cosmological modelŐs connection with Bose-Einstein condensates.
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