TY - JOUR
T1 - A unified treatment of Schrodinger's equation for anharmonic and double well potentials
AU - Burrows, B. L.
AU - Cohen, M.
AU - Feldmann, T.
PY - 1989
Y1 - 1989
N2 - The authors exploit some exact soluble model potentials VN( alpha , beta )=V(A,B)+ lambda x6 in order to extrapolate (as lambda to 0) reliable eigenvalues of the one-dimensional Schrodinger equations with either anharmonic or symmetric double well potentials of the form V(A,B)=1/2Ax2+Bx2 (B>0). Their procedure, which corresponds to low-order Rayleigh-Schrodinger perturbation theory, is found to be competitive with both high-order Pade summation of conventional RSPT and large-scale variational calculations using harmonic oscillators basis functions.
AB - The authors exploit some exact soluble model potentials VN( alpha , beta )=V(A,B)+ lambda x6 in order to extrapolate (as lambda to 0) reliable eigenvalues of the one-dimensional Schrodinger equations with either anharmonic or symmetric double well potentials of the form V(A,B)=1/2Ax2+Bx2 (B>0). Their procedure, which corresponds to low-order Rayleigh-Schrodinger perturbation theory, is found to be competitive with both high-order Pade summation of conventional RSPT and large-scale variational calculations using harmonic oscillators basis functions.
UR - http://www.scopus.com/inward/record.url?scp=0242287203&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/22/9/019
DO - 10.1088/0305-4470/22/9/019
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AN - SCOPUS:0242287203
SN - 0305-4470
VL - 22
SP - 1303
EP - 1313
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 9
M1 - 019
ER -