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dc.contributor.advisorVourdas, Apostolos
dc.contributor.authorJabuni, Muna*
dc.date.accessioned2011-03-30T15:50:14Z
dc.date.available2011-03-30T15:50:14Z
dc.date.issued2011-03-30
dc.identifier.urihttp://hdl.handle.net/10454/4856
dc.description.abstractQuantum systems with a finite Hilbert space, where position x and momen- tum p take values in Z(d) (integers modulo d), are studied. An analytic representation of finite quantum systems is considered. Quantum states are represented by analytic functions on a torus. This function has exactly d zeros, which define uniquely the quantum state. The analytic function of a state can be constructed using its zeros. As the system evolves in time, the d zeros follow d paths on the torus. Examples of the paths ³n(t) of the zeros, for various Hamiltonians, are given. In addition, for given paths ³n(t) of the d zeros, the Hamiltonian is calculated. Furthermore, periodic finite quantum systems are considered. Special cases where M of the zeros follow the same path are also studied, and general ideas are demonstrated with several ex- amples. Examples of the path with multiplicity M = 1; 2; 3; 4; 5 are given. It is evidenced within the study that a small perturbation of the initial values of the zeros splits a path with multiplicity M into M different paths.en_US
dc.description.sponsorshipLibyan Cultural Affairsen_US
dc.language.isoenen_US
dc.rights<a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>.en_US
dc.subjectFinite quantum systemsen_US
dc.subjectTorusen_US
dc.subjectAnalytic functionsen_US
dc.subjectRepresentationen_US
dc.titleAnalytic Representations of Finite Quantum Systems on a Torusen_US
dc.type.qualificationleveldoctoralen_US
dc.publisher.institutionUniversity of Bradfordeng
dc.publisher.departmentDepartment of Computingen_US
dc.typeThesiseng
dc.type.qualificationnamePhDen_US
dc.date.awarded2010
refterms.dateFOA2018-07-19T04:48:01Z


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