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We perform a study of various anharmonic potentials using a recently developed method. We calculate both the wave functions and the energy eigenvalues for the ground and first excited states of the quartic, sextic and octic potentials with high precision, comparing the results with other techniques available in the literature.
In this Letter we apply a method recently devised in [Phys. Lett. A 316 (2003) 218] to find accurate approximate solutions to a certain class of nonlinear differential equations. The analysis carried out in [Phys. Lett. A 316 (2003) 218] is refined and results of much higher precision are obtained for the problems previously considered (Duffing equation, sextic oscillator). Fast convergence to the...
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