Anharmonic oscillators energies via artificial perturbation method

Details Anharmonic oscillators energies via artificial perturbation method Anharmonic oscillators energies via artificial perturbation method

2000-01-12

arxiv.org/abs/quant-ph/0001038v2

Eur. Phys. J. B 15, 143 (2000).

Physics

Quantum Physics

22 pages, Latex file, to appear in the Eur. Phys. J. B

Scientific paper

10.1007/s100510051108

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)=\alpha_o q^2 + \alpha q^4. 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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