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The braided algebra and its Jordan-Schwinger construction in terms of Q-deformed fermionic oscillators

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dc.contributor Graduate Program in Physics.
dc.contributor.advisor Arık, Metin.
dc.contributor.author Halıcılar, Fulya.
dc.date.accessioned 2023-03-16T10:38:04Z
dc.date.available 2023-03-16T10:38:04Z
dc.date.issued 2009.
dc.identifier.other PHYS 2009 H34
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/13701
dc.description.abstract The standard bosonic and fermionic Jordan-Schwinger constructions for the Lie algebra of SU(2) are reviewed in this thesis. It is shown that the Jordan-Schwinger constructions of the quantum group with q as deformation parameter SUq(2) are obtained by using q-deformed bosonic and fermionic oscillators. The construction of the braided algebra BMq(2) of Hermitian braided matrices in terms of two independent q-bosonic oscillators in the Fock space is studied. It is also determined that the braided algebra of BMq(2) can be constructed by a pair of q, q -1 deformed bosonic oscillators. By means of a similar approach we construct the braided algebra of (nonHermitian) BMq(2) braided matrices in terms of two independent q-deformed fermionic oscillators. We also observe that the representations of this algebra of q, q -1 deformed fermionic oscillators are constructed in a complex vector space. Finally, in the limit q - 1, we show that our construction gives the Pauli exclusion principle.
dc.format.extent 30cm.
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 Lie algebras.
dc.subject.lcsh Fermions.
dc.subject.lcsh Bosons.
dc.title The braided algebra and its Jordan-Schwinger construction in terms of Q-deformed fermionic oscillators
dc.format.pages vii, 38 leaves;


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