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Anharmonic oscillators energies via artificial perturbation method

Omar Mustafa, Maen Odeh

quant-pharXiv:quant-ph/0001038

Abstract

A new pseudoperturbative (artificial in nature) methodical proposal [15] is used to solve for Schrodinger equation with a class of phenomenologically useful and methodically challenging anharmonice oscillator potentials V(q)=αo q2 + αq4. The effect of the [4,5] Pade' approximant on the leading eigenenergy term is studied. Comparison with results from numerical (exact) and several eligible (approximation) methods is made.

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