Results 271 to 280 of about 13,281,844 (310)
Some of the next articles are maybe not open access.
The R-matrix Method in Nuclear Astrophysics
EAS Publications Series, 2007We present a short overview of the R-matrix method in nuclear physics, with emphasis on nuclear astrophysics. The method can be applied in two ways: solving the Schrodinger equation for scattering states, or fitting experimental cross sections. Both variants are presented in a common framework. The method is illustrated with the α + α scattering, and
openaire +3 more sources
The uniqueness theorem for the universal R-matrix
Letters in Mathematical Physics, 1992It is well-known that the universal \(R\)-matrices for quantized semisimple finite dimensional Lie algebras and for quantized Kac-Moody algebras are uniquely determined (under some conditions) by quasi-cocommutativity and quasi-triangularity of the corresponding (quasi-triangular) Hopf algebra.
Khoroshkin, S. M., Tolstoĭ, V. N.
openaire +2 more sources
1996
We introduce the R-matrix method as applied to electron-atom and electron-ion scattering, and in particular we discuss the specific two-electron problem of electron-hydrogen-like ion scattering. A computer code for the calculation of cross sections for electron—hydrogen-like ion scattering is described together with some sample input and output data.
P. G. Burke, M. P. Scott
openaire +1 more source
We introduce the R-matrix method as applied to electron-atom and electron-ion scattering, and in particular we discuss the specific two-electron problem of electron-hydrogen-like ion scattering. A computer code for the calculation of cross sections for electron—hydrogen-like ion scattering is described together with some sample input and output data.
P. G. Burke, M. P. Scott
openaire +1 more source
Multiparameter R-matrix for orthosymplectic groups
Journal of Physics A: Mathematical and General, 1993Summary: We consider the multiparameter deformation of a quantum mechanical phase space associated with \(n\) bosonic and \(m\) fermionic coordinates. This generates \((n+m)\times (n+m-1)/2+1\) parameter solution of the quantum Yang-Baxter equation for \(OSp(2m/2n)\).
Parashar, Preeti, Soni, S. K.
openaire +2 more sources
A generalization of Wigner's R-matrix method
Physics Letters A, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On the r-matrix interpretation of Bogoyavlensky lattices
Physics Letters A, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Journal of Physics B: Atomic, Molecular and Optical Physics, 2002
The traditional implementation of R-matrix theory to electron scattering and photoionization requires the computationally demanding diagonalization of dense symmetric matrices of Hamiltonian elements. To make this task more efficient and to improve the convergence of the R-matrix basis, we develop an alternative R-matrix theory based on partitioning ...
Keith A Berrington, Connor P Ballance
openaire +1 more source
The traditional implementation of R-matrix theory to electron scattering and photoionization requires the computationally demanding diagonalization of dense symmetric matrices of Hamiltonian elements. To make this task more efficient and to improve the convergence of the R-matrix basis, we develop an alternative R-matrix theory based on partitioning ...
Keith A Berrington, Connor P Ballance
openaire +1 more source
2003
Almost all (perhaps, all) known integrable systems possess Lax representations. In the situation of systems described by ordinary differential equations, a Lax representation for a given system means that there exist two maps L: P→g and P→g from the system’s phase space P into some Lie algebrag such that the equations of motion are equivalent to $$
openaire +1 more source
Almost all (perhaps, all) known integrable systems possess Lax representations. In the situation of systems described by ordinary differential equations, a Lax representation for a given system means that there exist two maps L: P→g and P→g from the system’s phase space P into some Lie algebrag such that the equations of motion are equivalent to $$
openaire +1 more source
Additive deformations of the r-matrix algebras
Journal of Physics A: Mathematical and General, 1994Summary: The author shows how to construct new representations of the various \(R\)-matrix algebras starting from known representations. For linear \(r\)-matrix algebras he investigates a dynamical \(r\)-matrix which depends on the spectral parameter and half of the dynamical variables (particle coordinates) only. The Toda lattices and the Henon-Heiles
openaire +1 more source
R-matrix dynamic dipole polarizabilities
Computer Physics Communications, 1981Program obtainable from: CPC Program Library, Queen’s an atom is directly related to the frequency dependent multiUniversity of Belfast, N. Ireland (see application form in this pole polarizability. A knowledge of the dynamic polarizability issue) of the system is therefore important in determining level shifts, refractive indices, harmonic ...
openaire +1 more source