Results 131 to 140 of about 1,413,385 (166)
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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 $$
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Almost all (perhaps, all) known integrable systems possess Lax representations. In the situation of systems described by ordinary differential equations, a Lax representation for a given system means that there exist two maps L: P→g and P→g from the system’s phase space P into some Lie algebrag such that the equations of motion are equivalent to $$
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A generalization of Wigner's R-matrix method
Physics Letters A, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the r-matrix interpretation of Bogoyavlensky lattices
Physics Letters A, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1976
Experiments involving polarization techniques have nowhere unearthed a richer structure of observed phenomena than in those scattering and reaction processes involving very few nucleons. This paper is concerned with a program, carried out with colleagues at Los Alamos, with its first goal as a phenomenological understanding of these processes.
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Experiments involving polarization techniques have nowhere unearthed a richer structure of observed phenomena than in those scattering and reaction processes involving very few nucleons. This paper is concerned with a program, carried out with colleagues at Los Alamos, with its first goal as a phenomenological understanding of these processes.
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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
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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
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1986
The R-matrix method is reviewed both in the L2 and R-matrix propagation implementation. Results are presented for a simple elastic scattering problem showing the improvement in convergence when nonorthogonal L2 bases are used. Comparably accurate results are obtained with either non-orthogonal sine functions or a distributed Gaussian basis.
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The R-matrix method is reviewed both in the L2 and R-matrix propagation implementation. Results are presented for a simple elastic scattering problem showing the improvement in convergence when nonorthogonal L2 bases are used. Comparably accurate results are obtained with either non-orthogonal sine functions or a distributed Gaussian basis.
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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
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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 ...
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An r-matrix interpretation of modified systems
Physica D: Nonlinear Phenomena, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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