TY - JOUR
T1 - Simple Iterative Procedures for Quantum‐Mechanical Bound States
AU - Burrows, Brian L.
AU - Cohen, Maurice
AU - Feldman, Tova
PY - 1991
Y1 - 1991
N2 - Iterative methods are developed to obtain approximate solutions for bound states of quantum‐mechanical systems. A sequence of 2 × 2 secular equations is solved, to yield a specified eigensolution to the N × N secular equation. Our simplest procedure ensures convergence only for certain states, but a generalisation appears to converge for any state. Some sample calculations are presented, both for model (anharmonic oscillator) systems and for a two‐electron atom.
AB - Iterative methods are developed to obtain approximate solutions for bound states of quantum‐mechanical systems. A sequence of 2 × 2 secular equations is solved, to yield a specified eigensolution to the N × N secular equation. Our simplest procedure ensures convergence only for certain states, but a generalisation appears to converge for any state. Some sample calculations are presented, both for model (anharmonic oscillator) systems and for a two‐electron atom.
UR - http://www.scopus.com/inward/record.url?scp=85005586834&partnerID=8YFLogxK
U2 - 10.1002/ijch.199100042
DO - 10.1002/ijch.199100042
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AN - SCOPUS:85005586834
SN - 0021-2148
VL - 31
SP - 369
EP - 378
JO - Israel Journal of Chemistry
JF - Israel Journal of Chemistry
IS - 4
ER -