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Solution for the eigenenergies of sextic anharmonic oscillator potential $V(x)=A_{6}x^{6}+A_{4}x^{4}+A_{2}x^{2}$. (English) Zbl 1099.81031
Summary: In this paper a study of the sextic anharmonic oscillator potential $V(x)=A_{6}x^{6}+A_{4}x^{4}+A_{2}x^{2}$ $(A_{6}\ne 0)$ using the asymptotic iteration method is presented. We calculate the eigenenergies for different excited states. The used method works very well for this potential and in fact one is able to obtain high accuracy with the asymptotic iteration method. A comparison between our results with other methods found in literature is presented.

81Q05Closed and approximate solutions to quantum-mechanical equations
81U15Exactly and quasi-solvable systems (quantum theory)
81Q10Selfadjoint operator theory in quantum theory, including spectral analysis
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