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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, ...
Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations
(Institute of Physics Publishing, 2015)
We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, ...
Hermitian Toeplicz determinants fr the class S of univalent functions
(National Academy of Sciences of the Republic of Armenia, 2021)
Introducing a new method, we give sharp estimates
of the Hermitian Toeplitz determinants of third order for the
class S of functions univalent in the unit disc. The new approach
is also illustrated on some subclasses ...
Positive impact of 3D CAD models employment in descriptive geometry education
(Gliwice: PTGiGI, 2019)
Classical Descriptive Geometry (DG) course used 2D drawings for 3D spatial elements representation. Computer graphic introduced simulation of a 3D geometric environment in contemporary DG teaching. Research aim is the ...
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 ...
Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states
(Physica Scripta, 2011)
Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - gt (lambda q, lambda p) remain in the same class when the modulus of the scaling ...
A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms
(Theoretical and Mathematical Physics, 2011)
We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - gt (lambda q, lambda p). We ...
Weighted P-partitions enumerator
(Applicable Analysis and Discrete Mathematics, 2021)
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We ...
Evaluation of the fourier transform of e(-ux2) for imaginary U
(Springer Science and Business Media Deutschland GmbH, 2006)
It is shown that the Fourier integral of the function exp(-ux(2)) exists not only for u satisfying Re u gt 0 but also for u that satisfies Re u >= 0. The proof is given by evaluating this integral for imaginary u.
Delamination detection in woven composite laminates with embedded optical fibers
(Wiley-VCH Verlag, 2001)