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 |
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Keywords
- Dirac R-matrix
- pseudo-states
- (DRMPS) method
- electron and photon collisions
- arbitrary atoms and ions
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Dirac R-matrix with pseudo-states. / Badnell, N.R.
In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, No. 17, 175202 , 14.09.2008.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 -