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dc.contributor.advisorVourdas, Apostolos
dc.contributor.authorMugassabi, Souad
dc.date.accessioned2011-05-27T15:49:28Z
dc.date.available2011-05-27T15:49:28Z
dc.date.issued2011-05-27
dc.identifier.urihttp://hdl.handle.net/10454/4895
dc.description.abstractThe Schrödinger equation ... is considered. The solution of this equation is reduced to the problem of finding the eigenvectors of an infinite matrix. The infinite matrix is truncated to a finite matrix. The approximation due to the truncation is carefully studied. The band structure of the eigenvalues is shown. The eigenvectors of the multiwells potential are presented. The solutions of Schrödinger equation are calculated. The results are very sensitive to the value of the parameter y. Localized solutions, in the case that the energy is slightly greater than the maximum value of the potential, are presented. Wigner and Weyl functions, corresponding to the solutions of Schrödinger equation, are also studied. It is also shown that they are very sensitive to the value of the parameter y.en_US
dc.description.sponsorshipGaryounis University and Libyan Cultural Affairsen_US
dc.language.isoenen_US
dc.rights© 2010 Mugassabi, S. This work is licensed under a Creative Commons Attribution-Non-Commercial-Share-Alike License (http://creativecommons.org/licenses/by-nc-nd/2.0/uk).en_US
dc.subjectSchrödinger equationen_US
dc.subjectEigenvectorsen_US
dc.subjectWeyl functionen_US
dc.subjectWigner functionen_US
dc.titleSchrödinger equation with periodic potentials.en_US
dc.type.qualificationleveldoctoralen_US
dc.publisher.institutionUniversity of Bradfordeng
dc.publisher.departmentDepartment of Mathematicsen_US
dc.typeThesiseng
dc.type.qualificationnamePhDen_US
dc.date.awarded2010
refterms.dateFOA2018-07-19T05:11:07Z


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