Higher-order corrections to the excited states using the logarithmic perturbation method
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10.1103/PhysRevA.58.713
Abstract
Based on the logarithmic perturbation method proposed by Aharonov and Au [Phys. Rev. Lett. 42, 1582 (1979)], we calculate explicitly up to fourth order and arrive at different results for the energy corrections and nodal point shifts of the first excited state.