Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9391
Title: Quantum group symmetry for kaleidoscope of hydrodynamic images and quantum states
Authors: Pashaev, Oktay
Publisher: IOP Publishing
Series/Report no.: Journal of Physics Conference Series
Abstract: The hydrodynamic flow in several bounded domains can be formulated by the image theorems, like the two circle, the wedge and the strip theorems, describing flow by q-periodic functions. Depending on geometry of the domain, parameter q has different geometrical meanings and values. In the special case of the wedge domain, with q as a primitive root of unity, the set of images appears as a regular polygon kaleidoscope. By interpreting the wave function in the Fock-Barman representation as complex potential of a flow, we find modn projection operators in the space of quantum coherent states, related with operator q-numbers. They determine the units of quantum information as kaleidoscope of quantum states with quantum group symmetry of the q-oscillator. Expansion of Glauber coherent states to these units and corresponding entropy are discussed.
Description: 32nd International Colloquium on Group Theoretical Methods in Physics (ICGTMP Group) -- JUL 09-13, 2018 -- Czech Tech Univ, Prague, CZECH REPUBLIC
URI: https://doi.org/10.1088/1742-6596/1194/1/012087
https://hdl.handle.net/11147/9391
ISSN: 1742-6588
1742-6596
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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