348 citations · 363 across the 3 of their papers we have counts for
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Quantization and Asymptotic Behaviour of Quantum Random Walk on Integers
Demosthenes Ellinas, Ioannis Smyrnakis
Quantization and asymptotic behaviour of a variant of discrete random walk on integers are investigated. This variant, the walk, has the novel feature that it uses many…
Region Operators of Wigner Function: Transformations, Realizations and Bounds
Demosthenes Ellinas, Ioannis Tsohantjis
An integral of the Wigner function of a wavefunction |psi >, over some region S in classical phase space is identified as a (quasi) probability measure (QPM) of S, and it can be ex…
On Algebraic and Quantum Random Walks
Demosthenes Ellinas
Algebraic random walks (ARW) and quantum mechanical random walks (QRW) are investigated and related. Based on minimal data provided by the underlying bialgebras of functions define…
Optical Dipole Trapping beyond Rotating Wave Approximation: The case of Large Detuning
Vassilios E Lembessis, Demosthenes Ellinas
We show that the inclusion of counter-rotating terms, usually dropped in evaluations of interaction of an electric dipole of a two level atom with the electromagnetic field, leads…