4 papers
quant-ph2001
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.
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
Analysis on the 2-Dim Quantum Poincare` Group at Roots of Unity
H. Ahmedov
2-Dim quantum Poincare` Group E_q(1,1) at roots of unity, its dual U_q(e(1,1)) and some of its homogeneous spaces are introduced. Invariant integrals on E_q(1,1) and its invariant…
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…