Harrison Hall Opening (January 1999)

The people involved in opening Harrison Hall.

Steel Reinforcing Bars

Steel reinforcing bars used in the construction of the walls for the Aquatic Centre.

Welch Hall

View of Welch Hall from the southwest before the Walker Complex and South Block existed.

Welch Hall Overhead

This view from the Twer facing southwest shows the College of Education, now Welch Hall, and the former parking lot situated west of it (behind it).

Welch Hall Northern View

View of Welch Hall from just north of it where Scotiabank Hall is now.

Welch Hall South Entrance

The main entrance to Welch Hall and the David S. Howes Theatre, formerly the Playhouse. The Schmon Tower can be seen in the background. Note the sign reading 'St. Catharines Teachers College. This photograph thus precedes the amalgamation of the College with Brock University.

Welch Hall South Entrance

The main entrance to Welch Hall and the David S. Howes Theatre, formerly the Playhouse. The Schmon Tower can be seen in the background. The 'St. Catharines Teachers College' sign is no longer present. This photograph was taken at some point after the College joined Brock University.

Welch Hall South Entrance

A view of the south entrance from Thistle Complex in 1999.

Harrison Hall (January 1999)

Harrison Hall holds the new Student Health Centre and Athletic Therapy Clinic. The centre provides the University's Health Services Department with a greater amount of space for students and staff, and the building is designed to make treatment more comfortable and efficient. The centre includes four examination rooms as part of the increased space. It is named after Bernard Harrison, a former Brock physics demonstrator who has donated over $1 million to the University.

Inniskillin Hall (June 1999)

The building, which is attached to the Mackenzie Chown complex, holds facilities for Brock's Cool Climate Oenology and Viticulture Institute. The Institute, which studies grape growing and wine production, is the only one of its kind in Canada, and only the third of its kind in North America. It includes specialized research laboratories, a climate-controlled wine cellar, a wine library, and a museum. The building is named after a Niagara winery, Inniskillin Wines.

On the path integral formulation and the evaluation of quantum statistical averages

Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .

Optimization of trial wave functions for use in quantum Monte Carlo with application to LiH

Methods for both partial and full optimization of wavefunction parameters are explored, and these are applied to the LiH molecule. A partial optimization can be easily performed with little difficulty. But to perform a full optimization we must avoid a wrong minimum, and deal with linear-dependency, time step-dependency and ensemble-dependency problems. Five basis sets are examined. The optimized wavefunction with a 3-function set gives a variational energy of -7.998 + 0.005 a.u., which is comparable to that (-7.990 + 0.003) 1 of Reynold's unoptimized \fin ( a double-~ set of eight functions). The optimized wavefunction with a double~ plus 3dz2 set gives ari energy of -8.052 + 0.003 a.u., which is comparable with the fixed-node energy (-8.059 + 0.004)1 of the \fin. The optimized double-~ function itself gives an energy of -8.049 + 0.002 a.u. Each number above was obtained on a Bourrghs 7900 mainframe computer with 14 -15 hrs CPU time.

Quantum Monte Carlo : some theoretical and numerical studies

In Part I, theoretical derivations for Variational Monte Carlo calculations are compared with results from a numerical calculation of He; both indicate that minimization of the ratio estimate of Evar , denoted EMC ' provides different optimal variational parameters than does minimization of the variance of E MC • Similar derivations for Diffusion Monte Carlo calculations provide a theoretical justification for empirical observations made by other workers. In Part II, Importance sampling in prolate spheroidal coordinates allows Monte Carlo calculations to be made of E for the vdW molecule var He2' using a simplifying partitioning of the Hamiltonian and both an HF-SCF and an explicitly correlated wavefunction. Improvements are suggested which would permit the extension of the computational precision to the point where an estimate of the interaction energy could be made~