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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, ...
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 ...
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 ...
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 ...
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 ...
Unordered multiplicity lists of wide double paths
(DMFA Slovenije, 2013)
Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Φ-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting ...
Nonsingular acyclic matrices with full number of P-vertices
(Taylor & Francis Ltd, 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
(Discrete Mathematics, 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 ...