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Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Direct and Inverse Computation of Jacobi Matrices of Infinite Homogeneous Affine I.F.S
Jacobi Matrices Orthogonal Polynomials Singular Continuous Measures Iterated Function Systems Gaussian–I.F.S. Quadratures
2011/7/28
Abstract: We introduce a new set of algorithms to compute Jacobi matrices associated with measures generated by infinite systems of iterated functions. We demonstrate their relevance in the study of t...
All the Groups of Signal Analysis from the (1+1)-affine Galilei Group
Signal Analysis the (1+1)-affine Galilei Group Mathematical Physics
2011/7/26
Abstract: We study the relationship between the (1+1)-affine Galilei group and four groups of interest in signal analysis and image processing, viz., the wavelet or the affine group of the line, the W...
Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension
Affine Maps the Polarization Vector Quantum Systems Arbitrary Dimension
2010/11/4
The operator-sum decomposition (OS) of a mapping from one density matrix to another has many applications in quantum information science. To this mapping there corresponds an affine map which provides...
Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras
T-system quantum affine algebras
2010/4/8
We propose factorized difference operators L(u) associated with the twisted quantum affine algebras U_{q}(A^{(2)}_{2n}),U_{q}(A^{(2)}_{2n-1}), U_{q}(D^{(2)}_{n+1}),U_{q}(D^{(3)}_{4}). These operators ...
Form factors of descendant operators: $A^{(1)}_{L-1}$ affine Toda theory
Form factors affine Toda theory descendant operators
2010/4/7
In the framework of the free field representation we obtain exact form factors of local operators in the two-dimensional affine Toda theories of the $A^{(1)}_{L-1}$ series. The construction generalize...
Quantized excitations of internal affine modes and their influence on Raman spectra
Quantized excitations internal affine modes Raman spectra
2010/4/7
Discussed is the structure of classical and quantum excitations of internal degrees of freedom of multiparticle objects like molecules, fullerens, atomic nuclei, etc. Basing on some invariance propert...
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
conformal invariant loop algebra Toda R-matrix
2007/8/15
2001Vol.35No.4pp.435-440DOI:
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
CHAO Liu and YANG Zhan-Ying
Institute of Modern Physics, Northwest University, Xi'a...
Study on Properties of Intensity Profiles Scattered from the Self-Affine Fractal Random Surfaces: an Approximate
Theory and Simulations
self-affine fractal random surfaces light scattering intensity profile
2007/8/15
2003Vol.39No.2pp.225-230DOI:
Study on Properties of Intensity Profiles Scattered from the Self-Affine Fractal Random Surfaces: an Approximate
Theory and Simulations
CHENG Chuan-F...
Ermakov System and Plane Curve Motions in Affine Geometries
Pinney equation Ermakov system motion of plane curve affine geometry symmetry
group
2007/8/15
2005Vol.43No.2pp.201-204DOI:
Ermakov System and Plane Curve Motions in Affine Geometries
QU Chang-Zheng
Center for Nonlinear Studies, Northwest University, Xi'an 710069,...