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Two methods of quantum well profile optimization for maximal nonlinear optical susceptibilities
(Physical Review B, 2001)
Two different approaches for the optimization of the quantum well profile are proposed and discussed. One is the multiparameter procedure, based on the inverse spectral theory (IST) and supersymmetric quantum mechanics ...
Concave Regular Faced Cupolae of Second Sort
(Dresden: Technische Universität Dresden; International Society for Geometry and Graphics (ISGG), 2008)
Cupola is a polyhedron which is consisted of two regular polygons: n-gon and 2n-gon in parallel planes, connected by alternating sequence of squares and equilateral triangles, i.e. Johnson’s solids J3, J4 and J5. However, ...
Transposing an Octogonal Cupola of Second Sort Into a Bionic Polyspherical Form
(Dresden: Technische Universität Dresden; International Society for Geometry and Graphics (ISGG), 2008)
In the paper there is presented a method of transposing a polyhedral structure, composed of two
regular polygons: octagon and hexadecagon as the bases, and the envelope formed of equilateral triangular strip, which is ...
Multiparameter optimization of optical nonlinearities in semiconductor quantum wells by supersymmetric quantum mechanics
(Physics Letters A, 2001)
The multiparameter procedure of semiconductor quantum well profile optimization, using the supersymmetric quantum mechanics, is described and explored. The method generates families of isospectral potentials that depend ...
Univalency and convolution results associated with confluent hypergeometric functions
(Houston Journal of Mathematics, 2009)
Given the confluent hypergeometric functions Φ(a; c; z), we
place conditions on a and c to guarantee that zΦ(a; c; z) will be in two sub-
classes of univalent functions. In addition, we obtain conditions to obtain
some ...
Polynomial Interpolation Problem for Skew Polynomials
(Applicable Analysis and Discrete Mathematics, 2007)
Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function ...