TY - JOUR
T1 - Formal scattering theory by an algebraic approach
AU - Alhassid, Y.
AU - Levine, R. D.
PY - 1985
Y1 - 1985
N2 - Formal scattering theory is recast in a Lie-algebraic form. The central result is an algebraic Lippmann-Schwinger equation for the wave operator from which an algebraic form of the Born series (containing only linked terms) is obtained. When a finite Lie algebra is sufficient, The Mo/ller wave operator, on the energy shell, can be solved for explicitly as an element of the corresponding group. The method is illustrated for the separable potential whose relevant algebra is found to be U(1,1).
AB - Formal scattering theory is recast in a Lie-algebraic form. The central result is an algebraic Lippmann-Schwinger equation for the wave operator from which an algebraic form of the Born series (containing only linked terms) is obtained. When a finite Lie algebra is sufficient, The Mo/ller wave operator, on the energy shell, can be solved for explicitly as an element of the corresponding group. The method is illustrated for the separable potential whose relevant algebra is found to be U(1,1).
UR - http://www.scopus.com/inward/record.url?scp=4243862483&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.54.739
DO - 10.1103/PhysRevLett.54.739
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:4243862483
SN - 0031-9007
VL - 54
SP - 739
EP - 741
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
ER -