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dc.contributor.authorHornik, Miroslav.en_US
dc.date.accessioned2009-07-14T19:40:55Z
dc.date.available2009-07-14T19:40:55Z
dc.date.issued2001-07-14T19:40:55Z
dc.identifier.urihttp://hdl.handle.net/10464/2269
dc.description.abstractThe 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.en_US
dc.language.isoengen_US
dc.publisherBrock Universityen_US
dc.subjectPerturbation (Quantum dynamics)en_US
dc.subjectElectrostatics.en_US
dc.subjectHydrogen.en_US
dc.subjectHelium.en_US
dc.titleQuantum Monte Carlo study of electrostatic polarizabilities of H and He atoms /en_US
dc.typeElectronic Thesis or Dissertationen_US
dc.degree.nameM.Sc. Physicsen_US
dc.degree.levelMastersen_US
dc.contributor.departmentDepartment of Physicsen_US
dc.degree.disciplineFaculty of Mathematics and Scienceen_US
refterms.dateFOA2021-08-07T02:10:19Z


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