Single and Many Particle Correlation Functions and Uniform Phase Bases for Strongly Correlated Systems

The need for suitable many or infinite fermion correlation functions to describe some low dimensional strongly correlated systems is discussed. This is linked to the need for a correlated basis, in which the ground state may be postive definite, and in which single particle correlations may suffice. A particular trial basis is proposed, and applied to a certain quasi-1D model. The model is a strip of the 2D square lattice wrapped around a cylinder, and is related to the ladder geometries, but with periodic instead of open boundary conditions along the edges. Analysis involves a novel mean-field approach and exact diagonalisation. The model has a paramagnetic region and a Nagaoka ferromagnetic region. The proposed basis is well suited to the model, and single particle correlations in it have power law decay for the paramagnet, where the charge motion is qualitatively hard core bosonic. The mean field also leads to a BCS-type model with single particle long range order.Comment: 23 pages, in plain tex, 12 Postscript figures included. Accepted for publication in J.Physics : Condensed Matte

Complementary and Alternative Medicine (CAM) Therapies in the Treatment of Meniere's Syndrome: Illness Narratives

Colonnade interior, glass wall, from above, depicting brise-soleil; The building today commonly referred to as the Old City Hall was the building that served as Ottawa's city hall from 1958 to 2000. Today it is officially known as 111 Sussex Drive and is owned by the Federal Government of Canada. The building is located on Green Island at the point where the Rideau River empties into the Ottawa. The International Style building was opened on August 2, 1958 by Princess Margaret as a member of the Canadian Royal Family. It is noted for the first building in Ottawa to be fully air conditioned. It was designed by John Bland of the firm of Rother, Bland and Trudeau and is considered one of the most important International Style buildings in Canada. Winning the Massey Medal for design in 1959, modifications were made by Moshe Safdie in 1992-1993. Today the building mainly houses foreign affairs employees. Source: Wikipedia; http://en.wikipedia.org/wiki/Main_Page (accessed 1/10/2008

Unsupervised vector-based classification of single-molecule charge transport data

The stochastic nature of single-molecule charge transport measurements requires collection of large data sets to capture the full complexity of a molecular system. Data analysis is then guided by certain expectations, for example, a plateau feature in the tunnelling current distance trace, and the molecular conductance extracted from suitable histogram analysis. However, differences in molecular conformation or electrode contact geometry, the number of molecules in the junction or dynamic effects may lead to very different molecular signatures. Since their manifestation is a priori unknown, an unsupervised classification algorithm, making no prior assumptions regarding the data is clearly desirable. Here we present such an approach based on multivariate pattern analysis and apply it to simulated and experimental single-molecule charge transport data. We demonstrate how different event shapes are clearly separated using this algorithm and how statistics about different event classes can be extracted, when conventional methods of analysis fail