Prime statistics in particle algebras
| dc.contributor | Graduate Program in Physics. | |
| dc.contributor.advisor | Arık, Metin. | |
| dc.contributor.author | Erol, Cem. | |
| dc.date.accessioned | 2023-03-16T10:38:02Z | |
| dc.date.available | 2023-03-16T10:38:02Z | |
| dc.date.issued | 2009. | |
| dc.description.abstract | The importance of the fermion algebra extends to all branches of physics. It is characterized by the important property that at most one particle can be present in a quantum state with otherwise same quantum numbers. In this thesis we will deal with algebras Ad where at most d - 1 particles can be present in a quantum state with otherwise same quantum numbers. A2 is thus the fermion algebra. In the limit where d goes to infinity the algebra becomes the boson algebra. Thus, the particles obeying Ad can be considered as a generalization of bosons and fermions. Algebras Ad have some important properties. They are constructed in terms of a single annihilation operator a and a single creation operator a* satisfying certain relations. Ad has a unique d dimensional representation. In this thesis we will prove another important property of these algebras that the tensor product of two algebras Ad1 and Ad2 is isomorphic to Ad where d = d1d2. This property brings in the idea that the particle algebras of prime dimensions are fundamental. We use this valuable property to constitute the idea of prime statistics. | |
| dc.format.extent | 30cm. | |
| dc.format.pages | vii, 30 leaves; | |
| dc.identifier.other | PHYS 2009 E76 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13697 | |
| dc.publisher | Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009. | |
| dc.relation | Includes appendices. | |
| dc.relation | Includes appendices. | |
| dc.subject.lcsh | Fermions. | |
| dc.subject.lcsh | Particles (Nuclear physics) | |
| dc.title | Prime statistics in particle algebras |
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