Two new types of coherent states associated with the Cλ-extended oscillator, where Cλ is the cyclic group of order λ, are introduced. They satisfy a unity resolution relation in the Cλ-extended oscillator Fock space (or in some subspace thereof) and give rise to Bargmann representations of the latter, wherein the generators of the Cλ-extended oscillator algebra are realized as differential-oper...

Different generators of a deformed oscillator algebra give rise to oneparameter families of q-exponential functions and q-Hermite polynomials related by generating functions. Connections of the Stieltjes and Hamburger classical moment problems with the corresponding resolution of unity for the q-coherent states and with ’coordinate’ operators Jacobi matrices, are also pointed out. Permanent add...

A number of reports described human B cells that produce IL-10, [1-3] as potential BREGs and findings suggest that these human BREGs are potent generators of regulatory T cells (Treg) [4, 5]. Spontaneous IL-10 production by blood mononuclear cells is dramatically higher in untreated autoimmune disease patients than in healthy controls [6]. Yet, current knowledge regarding human B-cell productio...

The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscil...

The quantum-mechanical description of coherent light, as produced by lasers, gives rise to an intrinsic noise, known as quantum noise, optical noise or shot noise. Several protocols have been proposed to exploit this physical phenomenon to obtain secure data encryption and key distribution. Here we focus on the cryptographic aspects of Barbosa’s protocol[1] and propose an improvement, which is ...

The eigenstates of general complex linear combination of SU(1, 1) generators (suc(1, 1) algebraic coherent states (ACS)) are constructed and discussed. It is shown that in the case of quadratic boson representation ACS can exhibit strong both linear and quadratic amplitude squeezing. ACS for a given Lie group algebra contain the corresponding Perelomov CS with maximal symmetry. PACS numbers: 03...

New uncertainty relations for n observables are established. The relations take the invariant form of inequalities between the characteristic coefficients of order r, r = 1, 2,. .. , n, of the uncertainty matrix and the matrix of mean commuta-tors of the observables. It is shown that the second and the third order characteristic inequalities for the three generators of SU (1, 1) and SU (2) are ...

We present a method for synchronization of chaos generators based on transmission of an analog chaotic waveform in a digital form. Experimental comparisons between digital and analog transmission of chaos from a delayed differential feedback system are performed. Synchronization is demonstrated to be between 18 and 39 dB (or equivalently 63 to 7943 times) better for digital transmission than an...

Coherent motions depict the individuals’ collective movements in widely existing moving crowds physical, biological, and other systems. In recent years, similarity-based clustering algorithms, particularly Filtering (CF) approach, have accomplished wide-scale popularity acceptance field of coherent motion detection. this work, a tracklet-before-clustering initialization strategy is introduced t...

In Natural Language Generation (NLG), one important limitation is the lack of common benchmarks on which to train, evaluate and compare data-to-text generators. In this paper, we make one step in that direction and introduce a method for automatically creating an arbitrary large repertoire of data units that could serve as input for generation. Using both automated metrics and a human evaluatio...