172 citations · 2.2k across the 119 of their papers we have counts for
10 papers · 1 filter
Coupling and Recoupling Coefficients for Wigner's U(4) Supermultiplet Symmetry
Phong Dang, Jerry P. Draayer, Feng Pan +5
A novel procedure for evaluating Wigner coupling coefficients and Racah recoupling coefficients for U(4) in two group-subgroup chains is presented. The canonical U(4)->U(3)->U(2)->…
New Procedure for Evaluation of U(3) Coupling and Recoupling Coefficients
Phong Dang, Jerry P. Draayer, Feng Pan +1
A simple method to calculate Wigner coupling coefficients and Racah recoupling coefficients for U(3) in two group-subgroup chains is presented. While the canonical U(3)->U(2)->U(1)…
Construction of Basis Vectors For Symmetric Irreducible Representations of O(5) supset O(3)
Feng Pan, Lina Bao, Yao-Zhong Zhang +1
A recursive method for construction of symmetric irreducible representations of O(2l+1) in the O(2l + 1) supset O(3) basis for identical boson systems is proposed. The formalism is…
Confined One Dimensional Harmonic Oscillator as a Two-Mode System
V. G. Gueorguiev, A. R. P. Rau, J. P. Draayer
The one-dimensional harmonic oscillator in a box problem is possibly the simplest example of a two-mode system. This system has two exactly solvable limits, the harmonic oscillator…
Analysis and classification of nonlinear dispersive evolution equations in the potential representation
A. U. Eichmann, J. P. Draayer, A. Ludu
A potential representation for the subset of traveling solutions of nonlinear dispersive evolution equations is introduced. The procedure involves a reduction of a third order part…
Multi-scale Analysis of Nonlinear Equations
A. Ludu, R. F. O'Connell, J. P. Draayer
We use a multi-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose…
Deformations of the Boson Representation and its Subalgebras
J. P. Draayer, A. I. Georgieva, M. I. Ivanov
The boson representation of the sp(4,R) algebra and two distinct deformations of it, are considered, as well as the compact and noncompact subalgebras of each. The initial as well…
Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons
A. Ludu, G. Stoitcheva, J. P. Draayer
We introduce a generalized similarity analysis which grants a qualitative description of the localised solutions of any nonlinear differential equation. This procedure provides rel…
Wavelets and Quantum Algebras
Andrei Ludu, Martin Greiner, Jerry P. Draayer
Wavelets, known to be useful in non-linear multi-scale processes and in multi-resolution analysis, are shown to have a q-deformed algebraic structure. The translation and dilation…
The induced representations of Brauer algebra and the Clebsch-Gordan coefficients of SO(n)
Feng Pan, Shi-hai Dong, J. P. Draayer
Induced representations of Brauer algebra from with are discussed. The induction coefficients (IDCs) or the outer-product red…