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

SN - 0953-4075

VL - 41

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

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

IS - 17

M1 - 175202

ER -