TY - JOUR
T1 - Rayleigh-Schrodinger perturbation theory with a strong perturbation
T2 - Anharmonic oscillators
AU - Cohen, M.
AU - Kais, S.
PY - 1986
Y1 - 1986
N2 - The bound state solutions of Schrodinger's equation for the anharmonic oscillator potentials V=x2+ lambda x2k (k=2,3, . . . ) have been investigated, using elementary techniques of low-order variational perturbation theory. For the quartic oscillator (k=2) a scaled harmonic potential provides a remarkably accurate model for all lambda . Although this model is slightly less satisfactory for higher-order anharmonicities (k>or=3), the perturbation procedures remain effective, and can be applied successfully provided that higher-order terms are calculated.
AB - The bound state solutions of Schrodinger's equation for the anharmonic oscillator potentials V=x2+ lambda x2k (k=2,3, . . . ) have been investigated, using elementary techniques of low-order variational perturbation theory. For the quartic oscillator (k=2) a scaled harmonic potential provides a remarkably accurate model for all lambda . Although this model is slightly less satisfactory for higher-order anharmonicities (k>or=3), the perturbation procedures remain effective, and can be applied successfully provided that higher-order terms are calculated.
UR - http://www.scopus.com/inward/record.url?scp=3042987649&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/5/021
DO - 10.1088/0305-4470/19/5/021
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AN - SCOPUS:3042987649
SN - 0305-4470
VL - 19
SP - 683
EP - 690
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 5
M1 - 021
ER -