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~

Quantum Monte Carlo study of electrostatic polarizabilities of H and He atoms /

The infinitesimal differential quantum Monte Carlo (QMC) technique is used to estimate electrostatic polarizabilities of the H and He atoms up to the sixth order in the electric field perturbation. All 542 different QMC estimators of the nonzero atomic polarizabilities are derived and used in order to decrease the statistical error and to obtain the maximum efficiency of the simulations. We are confident that the estimates are "exact" (free of systematic error): the two atoms are nodeless systems, hence no fixed-node error is introduced. Furthermore, we develope and use techniques which eliminate systematic error inherent when extrapolating our results to zero time-step and large stack-size. The QMC results are consistent with published accurate values obtained using perturbation methods. The precision is found to be related to the number of perturbations, varying from 2 to 4 significant digits.

Braden Residence Hall, Chapman College, Orange, California

Braden Hall, originally West Hall, men's dormitory, Chapman University, Orange, California. Constructed by Chapman College in 1959 and demolished in 2007.

Ground breaking for West Hall, Chapman College, Orange, California

Four officials with shovel at the groundbreaking ceremony for West Hall, renamed Braden Hall, Chapman College, Orange, California, 1959. Partially identified, left to right: Randolph Cutlip; Colleen Richardson; Ellis Steiner; Rod ___. The men's dormitory was demolished in 2007.

Beckman Hall construction

Digging the foundation of the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, 1997. Architect: Dworsky Associates; Contractor: Turner Construction.

Architectural drawing for Beckman Hall

Architectural drawing of the site for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997.

Digging Beckman Hall foundation, Chapman University, Orange, California

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Beckman Hall construction

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Digging the foundation for Beckman Hall, Chapman University, Orange, California

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Beckman Hall construction

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Bertea Hall, Chapman University, Orange, California

Bertea Hall, music department building at Chapman University, Orange, California. Constructed in 1975 by Chapman College.