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dc.contributor.advisorJakobsen, Per
dc.contributor.authorMikalsen, Karl Øyvind
dc.date.accessioned2015-03-09T13:44:53Z
dc.date.available2015-03-09T13:44:53Z
dc.date.issued2014-05-14
dc.description.abstractA new method for calculating the Casimir force between compact objects was introduced in May 2012 by Per Jakobsen and Isak Kilen. In this method a regularization procedure is used to reduce the pressure to the solution of an integral equation defined on the boundaries of the objects. In this thesis the method is further developed by extending from a 2D to a 3D massless scalar field, subject to Dirichelet boundary conditions on the boundaries of the objects. The method is implemented numerically and tested on configurations consisting of plates, spheres and ellipsoids. We compare the method to the functional integral method and the method of mode summation where possible. Our results are in accordance with what I. Kilen found; the method correctly predicts the geometry dependence of the Casimir force, but the size of the force is off by a factor of two.en_US
dc.identifier.urihttps://hdl.handle.net/10037/7377
dc.identifier.urnURN:NBN:no-uit_munin_6967
dc.language.isoengen_US
dc.publisherUiT Norges arktiske universiteten_US
dc.publisherUiT The Arctic University of Norwayen_US
dc.rights.accessRightsopenAccess
dc.subject.courseIDMAT-3900en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413en_US
dc.subjectCasimir effecten_US
dc.subjectCasimir forceen_US
dc.subjectIntegral equationen_US
dc.subjectRegularizationen_US
dc.subjectNumerical calculationen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413en_US
dc.titleDeforming the vacuum. On the physical origin and numerical calculation of the Casimir effect.en_US
dc.typeMaster thesisen_US
dc.typeMastergradsoppgaveen_US


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