4 papers
Path Integration for the Plane Pendulum with Finite Amplitude
H. Ahmedov, I. H. Duru
Exact path integration for the one dimensional potential which describes the finite amplitude pendulum is presented.
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…
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…
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…