The R-Matrix Method | ScienceGate

Relativistic B-Spline R-Matrix Calculations for Electron Collisions with Ytterbium

Atoms ◽

10.3390/atoms9030047 ◽

2021 ◽

Vol 9 (3) ◽

pp. 47

Author(s):

Kathryn R. Hamilton ◽

Klaus Bartschat ◽

Oleg Zatsarinny

Keyword(s):

Experimental Data ◽

Electron Scattering ◽

Cross Sections ◽

Matrix Method ◽

Model Potential ◽

Electron Collisions ◽

R Matrix ◽

B Spline ◽

Potential Approach

We have applied the full-relativistic Dirac B-Spline R-matrix method to obtain cross sections for electron scattering from ytterbium atoms. The results are compared with those obtained from a semi-relativistic (Breit-Pauli) model-potential approach and the few available experimental data.

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The Dirac R-matrix method for scattering of slow electrons from alkali-metal-like targets

10.1063/1.45218 ◽

1993 ◽

Author(s):

Uwe Thumm

Keyword(s):

Alkali Metal ◽

Matrix Method ◽

R Matrix ◽

Slow Electrons

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The R-matrix method for electron impact ionisation

Journal of Physics B Atomic and Molecular Physics ◽

10.1088/0022-3700/20/13/025 ◽

1987 ◽

Vol 20 (13) ◽

pp. 3191-3200 ◽

Cited By ~ 101

Author(s):

K Bartschat ◽

P G Burke

Keyword(s):

Electron Impact ◽

Matrix Method ◽

R Matrix ◽

Impact Ionisation

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Study of He–H2CO collisions at interstellar temperatures using the L2 R‐matrix method

The Journal of Chemical Physics ◽

10.1063/1.454123 ◽

1988 ◽

Vol 88 (2) ◽

pp. 975-984 ◽

Cited By ~ 1

Author(s):

C. J. Bocchetta ◽

J. Gerratt ◽

G. Guthrie

Keyword(s):

Matrix Method ◽

R Matrix

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Erratum to: Application of the R-matrix method in quantum transport simulations

Journal of Computational Electronics ◽

10.1007/s10825-011-0363-x ◽

2011 ◽

Vol 10 (1-2) ◽

pp. 268-268

Author(s):

Gennady Mil’nikov ◽

Nobuya Mori ◽

Yoshinari Kamakura

Keyword(s):

Quantum Transport ◽

Matrix Method ◽

R Matrix

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Photoionisation of S VII from four lowest1Se,3Po,1Poand3Sestates using R-matrix method

Physica Scripta ◽

10.1088/0031-8949/47/5/005 ◽

1993 ◽

Vol 47 (5) ◽

pp. 674-678 ◽

Cited By ~ 1

Author(s):

M Mohan ◽

A Kumar ◽

K S Baliyan

Keyword(s):

Matrix Method ◽

R Matrix

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A generalization of Wigner's R-matrix method

Physics Letters A ◽

10.1016/s0375-9601(97)00880-3 ◽

1998 ◽

Vol 237 (6) ◽

pp. 319-330 ◽

Cited By ~ 4

Author(s):

Radosław Szmytkowski

Keyword(s):

Matrix Method ◽

R Matrix

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Inelastic Electron-Molecule Scattering Using the R-Matrix Method

Swarm Studies and Inelastic Electron-Molecule Collisions ◽

10.1007/978-1-4612-4662-6_38 ◽

1987 ◽

pp. 265-283 ◽

Cited By ~ 2

Author(s):

P. G. Burke ◽

C. J. Noble

Keyword(s):

Matrix Method ◽

Inelastic Electron ◽

R Matrix ◽

Molecule Scattering

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A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r -Matrix Method

Communications in Theoretical Physics ◽

10.1088/0253-6102/68/4/463 ◽

2017 ◽

Vol 68 (4) ◽

pp. 463 ◽

Cited By ~ 1

Author(s):

Yu-Feng Zhang ◽

Iqbal Muhammad ◽

Chao Yue

Keyword(s):

Dynamical Systems ◽

Matrix Method ◽

Integrable Models ◽

Hamiltonian Structures ◽

R Matrix ◽

Integrable Dynamical Systems

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AN INTEGRABLE DECOMPOSITION OF THE SYMMETRIC MATRIX KdV EQUATION

Modern Physics Letters B ◽

10.1142/s0217984908015383 ◽

2008 ◽

Vol 22 (13) ◽

pp. 1307-1315

Author(s):

RUGUANG ZHOU ◽

ZHENYUN QIN

Keyword(s):

Hamiltonian Systems ◽

Matrix Method ◽

Kdv Equation ◽

Symmetric Matrix ◽

Lax Pair ◽

Integrable Hamiltonian Systems ◽

R Matrix ◽

Finite Dimensional ◽

Higher Rank ◽

Gaudin Models

A technique for nonlinearization of the Lax pair for the scalar soliton equations in (1+1) dimensions is applied to the symmetric matrix KdV equation. As a result, a pair of finite-dimensional integrable Hamiltonian systems, which are of higher rank generalization of the classic Gaudin models, are obtained. The integrability of the systems are shown by the explicit Lax representations and r-matrix method.

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