TY - JOUR
T1 - Power series solution of coupled equations and the three-body problem
AU - Mandelzweig, V. B.
PY - 1980
Y1 - 1980
N2 - Solutions of coupled equations are found in the form of a uniformly and absolutely convergent power series, whose coefficients satisfy simple recursion relations. Energy eigenvalues are shown to be roots of a secular equation. For demonstration, we solve exactly 36 coupled equations corresponding to hyperspherical harmonics with global momentum up to 20 in the three-body Coulomb problem.
AB - Solutions of coupled equations are found in the form of a uniformly and absolutely convergent power series, whose coefficients satisfy simple recursion relations. Energy eigenvalues are shown to be roots of a secular equation. For demonstration, we solve exactly 36 coupled equations corresponding to hyperspherical harmonics with global momentum up to 20 in the three-body Coulomb problem.
UR - http://www.scopus.com/inward/record.url?scp=84987056733&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(80)90796-3
DO - 10.1016/0375-9601(80)90796-3
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84987056733
SN - 0375-9601
VL - 78
SP - 25
EP - 28
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -