TY - JOUR
T1 - A novel algebraic solution to Schrödinger equations
AU - Burrow, B. L.
AU - Cohen, M.
PY - 1992/11/20
Y1 - 1992/11/20
N2 - We obtain approximations to some bound-state solutions of Schrödinger equations with a variety of central potentials V(r) without any direct calculation of the matrix elements of V(r). The method involves solutions of two algebraic eigenvalue problems, one for a real tridiagonal matrix, and one for a more general real symmetric matrix. The eigenvalues, calculated from matrices of dimension less than 64, generally converge rapidly towards their correct limiting values.
AB - We obtain approximations to some bound-state solutions of Schrödinger equations with a variety of central potentials V(r) without any direct calculation of the matrix elements of V(r). The method involves solutions of two algebraic eigenvalue problems, one for a real tridiagonal matrix, and one for a more general real symmetric matrix. The eigenvalues, calculated from matrices of dimension less than 64, generally converge rapidly towards their correct limiting values.
UR - http://www.scopus.com/inward/record.url?scp=0039603416&partnerID=8YFLogxK
U2 - 10.1016/0009-2614(92)85013-Z
DO - 10.1016/0009-2614(92)85013-Z
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AN - SCOPUS:0039603416
SN - 0009-2614
VL - 199
SP - 580
EP - 584
JO - Chemical Physics Letters
JF - Chemical Physics Letters
IS - 6
ER -