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There is a generalized oscillator algebra associated with every class of orthogonal polynomials {Ψn(x)}n=0, on the real line, satisfying a three term recurrence relation xΨn(x) = bnΨn+1(x) +… (More)

The energy levels, generally known as the Landau levels, which characterize the motion of an electron in a constant magnetic field, are those of the one-dimensional harmonic oscillator, with each… (More)

Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtained coherent states,… (More)

We investigate the two-dimensional Aharonov-Bohm operator Hc0,β = (−i∇− A) 2 − βδ(. − Γ), where Γ is a smooth loop and A is the vector potential which corresponds to Aharonov-Bohm potential. The… (More)

Using the theory of self-adjoint extensions, we study the interaction model formally given by the Hamiltonian Hα + V (r), where Hα is the Aharonov-Bohm Hamiltonian and V (r) is the δ-type interaction… (More)

We present in this paper a construction for Gabor-type frames built out of generalized Weyl-Heisenberg groups. These latter are obtained via central extensions of groups which are direct products of… (More)

Using the theory of self-adjoint extensions, we study the relativistic spectral properties of the Landau operator with δ and δ′ interactions on a cylinder of radius R for a charged spin particle… (More)

The canonical coherent states were labeled by a single complex number z. In this article we present classes of coherent states labeled by some other choices, namely the iterates of a complex… (More)

The canonical coherent states are infinite series in powers of a complex number z. We present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a… (More)