Browsing Ph.D. Theses by Subject "Quantum groups."

Now showing items 1-3 of 3

General unitary quantum groups and generalized Fermion algebras

Altıntaş, Azmi Ali. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)

Since the middle of the twentieth century, physicists have concentrated on finding quantum counterparts of classical systems. When a classical system is quantized its invariance group may still be a classical group. In the ...
Multiparameter generalization of deformed particle algebras

Arıkan, Ali Serdar. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2004., 2004.)

In this study, we generalize deformed boson and fermion algebras by considering as many deformation parameters as possible. The restriction on the number of deformation parameters emerges from the relations leaving the ...
Quantum group structures associated with invariances of some physical algebras

Kayserilioğlu, Ufuk. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2005., 2005.)

In this study, the anticommuting spin algebra is introduced and it is shownto be invariant under the action of the quantum group SOq=-1(3). Furthermore, itsrepresentations and Hopf algebra structure are studied and found ...

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