Abstract
Orthogonal trigonometric basis functions in (-\ensuremath{\pi},\ensuremath{\pi}) are considered and the suitability of Fourier-like expansions involving odd harmonics of the semifundamental frequency is noted. Comparison with the conventional representation is made, pointing out the advantages of employing non-Fourier bases. As a practical application, near-exact results of variational calculations for the ground state of the quartic-anharmonic-oscillator problem are presented both for small and large coupling strengths.
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