This paper deals with a dynamical system that generalizes the Kepler-Coulomb system and the Hartmann system. It is shown that the Schrödinger equation for this generalized KeplerCoulomb system can be separated in prolate spheroidal coordinates. The coefficients of the interbasis expansions between three bases (spherical, parabolic and spheroidal) are studied in detail. It is found that the coef...

Representation theory for the Jordanian quantum algebra Uh(sl(2)) is developed using a nonlinear relation between its generators and those of sl(2). Closed form expressions are given for the action of the generators of Uh(sl(2)) on the basis vectors of finite dimensional irreducible representations. In the tensor product of two such representations, a new basis is constructed on which the gener...

We propose a new realization of the elliptic quantum group equipped with the H-Hopf algebroid structure on the basis of the elliptic algebra Uq,p(ŝl2). The algebra Uq,p(ŝl2) has a constructive definition in terms of the Drinfeld generators of the quantum affine algebra Uq(ŝl2) and a Heisenberg algebra. This yields a systematic construction of both finite and infinite-dimensional dynamical repre...

In this article the full set of irreducible unitary holomorphic representations of U (p, q) is determined. For a general Hermitian symmetric space G/K of the noncompact type the set of irreducible unitary representations of G on scalar valued holomorphic functions has been found by Wallach [14] and by Rossi and Vergne [11]. For the groups Mp(n, ~) and SU(n, n) unitary irreducible representation...

The structure constants of quantum Lie algebras depend on a quantum deformation parameter q and they reduce to the classical structure constants of a Lie algebra at q = 1. We explain the relationship between the structure constants of quantum Lie algebras and quantum Clebsch-Gordan coefficients for adjoint ⊗ adjoint → adjoint. We present a practical method for the determination of these quantum...

The theory of apolarity was first developed by Clebsch, Lasker, Richw x mond, Sylvester, and Wakeford 10, 17, 20 . They were first interested in studying homogeneous polynomials of degree p and in q variables, and in expressing them as sums of pth powers of linear terms. The problem is to minimize the number of pth powers which are required in such a sum. For instance, a result due to Sylvester...

The formation of uneven cup heights during deep drawing is called earing. This phenomenon caused by the planar anisotropy formability in sheets, which result crystallographic texture. In addition to analytical and finite element methods, a simple quick method was developed recently predict earing profile Al sheets solely from data {200} pole figures. So far, applied on final state cold rolled 0...

You have accessJournal of UrologyRenal Transplantation & Vascular Surgery II (PD45)1 Sep 2021PD45-10 CELL-BASED MOLECULAR THERAPY FOR CHRONIC KIDNEY TUBULOINTERSTITIAL FIBROSIS Julie Bennington, Shannon Lankford, Gopal Badlani, and J. Williams BenningtonJulie Bennington More articles by this author , LankfordShannon Lankford BadlaniGopal Badlani WilliamsJ. View All Author Informationhttps://doi...

P. C. Rowson, G. H. l’killing, G. S. Abrama, D. Amide?, A. R. Baden, T. Barklow, A. M. Boyarski, J. Hoyer, M. Breidenbach, P. Burchat, D. L. Burke, F. Butler, J. hf. Dorfan, G. J. Feldman, G. Gidal, L. Gladney, M. S. Gold, G. Goldhaber, L. J. Golding, J. Haggerty, G. Hanson, K. Hayes, D. Herrup, R. J. Hollebeek, W. R. Innes, J. A. Jaros, I. Juricic, J. A. Kadyk, D. Karlen, A. J. Lankford, R. R....