Show simple item record

dc.contributor.advisorVourdas, Apostolos
dc.contributor.authorEissa, Hend A.*
dc.date.accessioned2018-01-18T16:32:02Z
dc.date.available2018-01-18T16:32:02Z
dc.date.issued2016
dc.identifier.urihttp://hdl.handle.net/10454/14562
dc.description.abstractFinite quantum systems with d-dimension Hilbert space, where position x and momentum p take values in Zd(the integers modulo d) are studied. An analytic representation of finite quantum systems, using Theta function is considered. The analytic function has exactly d zeros. The d paths of these zeros on the torus describe the time evolution of the systems. The calculation of these paths of zeros, is studied. The concepts of path multiplicity, and path winding number, are introduced. Special cases where two paths join together, are also considered. A periodic system which has the displacement operator to real power t, as time evolution is also studied. The Bargmann analytic representation for infinite dimension systems, with variables in R, is also studied. Mittag-Leffler function are used as examples of Bargmann function with arbitrary order of growth. The zeros of polynomial approximations of the Mittag-Leffler function are studied.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>.eng
dc.subjectFinite quantum systems; Analytic representationen_US
dc.titleAnalytic representation of quantum systemsen_US
dc.type.qualificationleveldoctoralen_US
dc.publisher.institutionUniversity of Bradfordeng
dc.publisher.departmentFaculty of Engineering and Informatics Department of Computingen_US
dc.typeThesiseng
dc.type.qualificationnamePhDen_US
dc.date.awarded2016
refterms.dateFOA2018-07-28T02:27:48Z


Item file(s)

Thumbnail
Name:
Analytic representation of quantum ...
Size:
3.839Mb
Format:
PDF
Description:
PhD Thesis

This item appears in the following Collection(s)

Show simple item record