File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

postgraduate thesis: Geometric quantization of fermions and complex bosons

TitleGeometric quantization of fermions and complex bosons
Authors
Advisors
Advisor(s):Wu, S
Issue Date2013
PublisherThe University of Hong Kong (Pokfulam, Hong Kong)
Citation
Hsu, S. [許紹輝]. (2013). Geometric quantization of fermions and complex bosons. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5043450
AbstractGeometric quantization is a subject of finding irreducible representations of certain group or algebra and identifying those equivalent representations by geometric means. Geometric quantization of even dimensional fermionic system has been constructed based on the spinor representation of even dimensional Clifford algebras. Although geometric quantization of odd dimensional fermionic system has not been done, the existence of spinor representations in odd dimension indicates that the geometric quantization is possible. In quantum field theory, charge conjungation can be defined on complex bosons and fermions. Without interaction, the particles and anti-particles essentially have same physical properties. In this thesis, we will first recall the setup of geometric quantization of even dimensional fermion and bosons. Then we will show how to quantize odd dimensional fermion. After that, charge conjungation on complex fermion and boson will be defined and the remaining effort will be put on how to identify the Hilbert spaces produced by different charge conjungations.
DegreeMaster of Philosophy
SubjectGeometry, Differential.
Fermions - Mathematics.
Bosons - Mathematics.
Dept/ProgramMathematics
Persistent Identifierhttp://hdl.handle.net/10722/184263

 

DC FieldValueLanguage
dc.contributor.advisorWu, S-
dc.contributor.authorHsu, Siu-fai.-
dc.contributor.author許紹輝.-
dc.date.accessioned2013-06-29T15:46:29Z-
dc.date.available2013-06-29T15:46:29Z-
dc.date.issued2013-
dc.identifier.citationHsu, S. [許紹輝]. (2013). Geometric quantization of fermions and complex bosons. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5043450-
dc.identifier.urihttp://hdl.handle.net/10722/184263-
dc.description.abstractGeometric quantization is a subject of finding irreducible representations of certain group or algebra and identifying those equivalent representations by geometric means. Geometric quantization of even dimensional fermionic system has been constructed based on the spinor representation of even dimensional Clifford algebras. Although geometric quantization of odd dimensional fermionic system has not been done, the existence of spinor representations in odd dimension indicates that the geometric quantization is possible. In quantum field theory, charge conjungation can be defined on complex bosons and fermions. Without interaction, the particles and anti-particles essentially have same physical properties. In this thesis, we will first recall the setup of geometric quantization of even dimensional fermion and bosons. Then we will show how to quantize odd dimensional fermion. After that, charge conjungation on complex fermion and boson will be defined and the remaining effort will be put on how to identify the Hilbert spaces produced by different charge conjungations.-
dc.languageeng-
dc.publisherThe University of Hong Kong (Pokfulam, Hong Kong)-
dc.relation.ispartofHKU Theses Online (HKUTO)-
dc.rightsThe author retains all proprietary rights, (such as patent rights) and the right to use in future works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.source.urihttp://hub.hku.hk/bib/B50434500-
dc.subject.lcshGeometry, Differential.-
dc.subject.lcshFermions - Mathematics.-
dc.subject.lcshBosons - Mathematics.-
dc.titleGeometric quantization of fermions and complex bosons-
dc.typePG_Thesis-
dc.identifier.hkulb5043450-
dc.description.thesisnameMaster of Philosophy-
dc.description.thesislevelMaster-
dc.description.thesisdisciplineMathematics-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.5353/th_b5043450-
dc.date.hkucongregation2013-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats