### Abstract

Original language | English |
---|---|

Article number | 175202 |

Number of pages | 6 |

Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |

Volume | 41 |

Issue number | 17 |

DOIs | |

Publication status | Published - 14 Sep 2008 |

### Fingerprint

### Keywords

- Dirac R-matrix
- pseudo-states
- (DRMPS) method
- electron and photon collisions
- arbitrary atoms and ions

### Cite this

}

*Journal of Physics B: Atomic, Molecular and Optical Physics*, vol. 41, no. 17, 175202 . https://doi.org/10.1088/0953-4075/41/17/175202

**Dirac R-matrix with pseudo-states.** / Badnell, N.R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Dirac R-matrix with pseudo-states

AU - Badnell, N.R.

N1 - http://suprimo.lib.strath.ac.uk/primo_library/libweb/action/search.do?cs=frb&frbg=5674652&fctN=facet_frbrgroupid&fctV=5674652&frbg=&dum=true&vid=SUVU01&vl(54032236UI0)=lsr02&vl(96071691UI1)=all_items&srt=rank&indx=1&dstmp=1274886814420&tab=local&ct=search&scp.scps=scope%3A(SU)&vl(freeText0)=Journal%20of%20physics%20b-atomic%20molecular%20and%20optical%20physics&fn=search&mode=Basic&dscnt=0

PY - 2008/9/14

Y1 - 2008/9/14

N2 - We describe the development of the Dirac R-matrix with pseudo-states (DRMPS) method for electron and photon collisions with arbitrary atoms and ions. An N-electron atom is represented by an anti-symmetrized product of single-particle spinors comprising the usual four-component Dirac spinors as well as paired two-component Laguerre spinors (L-spinors). The convergent L-spinor basis forms a discretization of the electron and positron continua. This representation has been implemented quite generally within the general relativistic atomic structure package (GRASP) specifically GRASP0. An (N + 1)th 'scattering' electron is represented by the exact same L-spinor basis plus the usual R-matrix box-state spinors which are chosen so as to form a combined complete finite linearly independent orthogonal basis. The (non-diagonal) Buttle correction is determined consistently. This representation has been implemented quite generally within the Dirac atomic R-matrix code (DARC). Results of some simple model problems are presented which demonstrate the correctness of the implementation. (Abstract from : http://iopscience.iop.org/0953-4075/41/17/175202/pdf/0953-4075_41_17_175202.pdf)

AB - We describe the development of the Dirac R-matrix with pseudo-states (DRMPS) method for electron and photon collisions with arbitrary atoms and ions. An N-electron atom is represented by an anti-symmetrized product of single-particle spinors comprising the usual four-component Dirac spinors as well as paired two-component Laguerre spinors (L-spinors). The convergent L-spinor basis forms a discretization of the electron and positron continua. This representation has been implemented quite generally within the general relativistic atomic structure package (GRASP) specifically GRASP0. An (N + 1)th 'scattering' electron is represented by the exact same L-spinor basis plus the usual R-matrix box-state spinors which are chosen so as to form a combined complete finite linearly independent orthogonal basis. The (non-diagonal) Buttle correction is determined consistently. This representation has been implemented quite generally within the Dirac atomic R-matrix code (DARC). Results of some simple model problems are presented which demonstrate the correctness of the implementation. (Abstract from : http://iopscience.iop.org/0953-4075/41/17/175202/pdf/0953-4075_41_17_175202.pdf)

KW - Dirac R-matrix

KW - pseudo-states

KW - (DRMPS) method

KW - electron and photon collisions

KW - arbitrary atoms and ions

UR - http://iopscience.iop.org/0953-4075/41/17/175202/pdf/0953-4075_41_17_175202.pdf

U2 - 10.1088/0953-4075/41/17/175202

DO - 10.1088/0953-4075/41/17/175202

M3 - Article

VL - 41

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 17

M1 - 175202

ER -