TY - JOUR
T1 - Accurate approximate analytical solutions for a double-well potential
AU - Burrows, B. L.
AU - Cohen, M.
PY - 1998/10/23
Y1 - 1998/10/23
N2 - We employ a series of transformations, nonlinear as well as linear, to the Hamiltonian operator which describes a generic symmetric double-well potential. The linear transformations exploit some properties of the Lie algebras SO(3) and SO(2, 1), and lead to a convenient decomposition of the operator for applications of Rayleigh-Schrödinger perturbation theory (RSPT). Since conventional RSPT is not universally effective, we provide an alternative novel procedure which leads to compact analytic wavefunctions as well as accurate eigenvalues.
AB - We employ a series of transformations, nonlinear as well as linear, to the Hamiltonian operator which describes a generic symmetric double-well potential. The linear transformations exploit some properties of the Lie algebras SO(3) and SO(2, 1), and lead to a convenient decomposition of the operator for applications of Rayleigh-Schrödinger perturbation theory (RSPT). Since conventional RSPT is not universally effective, we provide an alternative novel procedure which leads to compact analytic wavefunctions as well as accurate eigenvalues.
UR - http://www.scopus.com/inward/record.url?scp=0012369215&partnerID=8YFLogxK
U2 - 10.1016/S0009-2614(98)00997-X
DO - 10.1016/S0009-2614(98)00997-X
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AN - SCOPUS:0012369215
SN - 0009-2614
VL - 295
SP - 389
EP - 398
JO - Chemical Physics Letters
JF - Chemical Physics Letters
IS - 5-6
ER -