TY - JOUR
T1 - A fast convergent hyperspherical expansion for the helium ground state
AU - Haftel, M. I.
AU - Mandelzweig, V. B.
PY - 1987/2/23
Y1 - 1987/2/23
N2 - An efficient method of solving the three-body Schrödinger equation is presented. The wavefunction is decomposed into the product of a correlation factor describing the singularity and clustering structure, and a smooth factor expanded in hyperspherical harmonics. The application to the helium atom yields a ground state energy of 2.9037244 (2.9033052) au for infinite (finite) nuclear mass. The convergence pattern shows that the accuracy of these values is better than a few parts in 108.
AB - An efficient method of solving the three-body Schrödinger equation is presented. The wavefunction is decomposed into the product of a correlation factor describing the singularity and clustering structure, and a smooth factor expanded in hyperspherical harmonics. The application to the helium atom yields a ground state energy of 2.9037244 (2.9033052) au for infinite (finite) nuclear mass. The convergence pattern shows that the accuracy of these values is better than a few parts in 108.
UR - http://www.scopus.com/inward/record.url?scp=23544452178&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(87)90215-5
DO - 10.1016/0375-9601(87)90215-5
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AN - SCOPUS:23544452178
SN - 0375-9601
VL - 120
SP - 232
EP - 236
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -