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Negative binomial states for the pseudoharmonic oscillator
(Physica Scripta, 2013)
In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, ...
Transparent PMMA/silica nanocomposites containing silica nanoparticles coating under supercritical conditions
(Progress in Organic Coatings, 2013)
This work reports the preparation of PMMA/silica nanocomposites with high optical transparency and enhanced mechanical properties using a melt compounding method. The surface of SiO2 particles was modified with a ...
Unordered multiplicity lists of wide double paths
(Ars Mathematica Contemporanea, 2013)
Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Phi-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree ...
Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information
(International Journal of Theoretical Physics, 2013)
In the quantum information theory operates with qubits and N-qubits that can be express through coherent states. Density operator admits a representation in terms of coherent states formalism. Consequently, in this paper ...
Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles
(Physica Scripta, 2013)
We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current ...
Generating a Type of Concave Cupolae of Fourth Sort
(Timişoara: Editura Politehnica, 2013)
The paper discusses the generation of a specific group of polyhedra, Concave Cupolae of Fourth Sort (CC IV) with regular polygonal bases, using constructive and analytical procedures. Beside determination of the parameters ...
Nonsingular acyclic matrices with full number of P-vertices
(Linear & Multilinear Algebra, 2013)
We classify the trees for which there is a nonsingular matrix where each vertex is a P-vertex. In particular, we show that such trees have an even number of vertices. Both results provide answers to questions proposed by ...
The maximum number of P-vertices of some nonsingular double star matrices
(Elsevier B.V., 2013)
In this short note, we construct a nonsingular matrix A whose graph is a double star of order n >= 4 with n - 2 P-vertices. This example leads to a positive answer, for n >= 6, to a last open question proposed recently by ...
Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation
(Acta Polytechnica Hungarica, 2013)
The paper analyzes the effects of pendulum temperature dilatation on the timepiece running and accounts for the basic mathematical principles that neutralization of these detrimental effects are based upon. Both preliminary ...
A computer verification of a conjecture about the Erdös-Mordell curve
(2013 21st Telecommunications Forum Telfor, TELFOR 2013 - Proceedings of Papers, 2013)
In this paper we consider Erdös-Mordell inequality and its extension in the plane of triangle to the Erdös-Mordell curve. Algebraic equation of this curve is derived, and using modern computer tools in mathematics, we ...