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math.QA1998
Quantum Analogue of the Neumann Function of Integer Order
H. Ahmedov, I. H. Duru
q-Neumann function of integer order N_n(x,q) is obtained and some of its properties are given. q-Psi function which is used in deriving N_n(x,q) is also introduced and some of its…
math.QA1998
Uncertainty Relations and Wave Packets on the Quantum Plane
H. Ahmedov, I. H. Duru
(2+2)-dimensional quantum mechanical q-phase space which is the semi-direct product of the quantum plane E_q(2)/U(1) and its dual algebra e_q(2)/u(1) is constructed. Commutation an…
math.QA1998
Planscherel Measure on E_q(2)
H. Ahmedov, I. H. Duru
Following the construction of the invariant integral and the scalar product for the quantum Euclidean group E_q(2), we obtained the full matrix elements of its unitary irreducible…