Spectrum of One-Dimensional Anharmonic Oscillators

Details Spectrum of One-Dimensional Anharmonic Oscillators Spectrum of One-Dimensional Anharmonic Oscillators

2003-05-21

arxiv.org/abs/quant-ph/0305128v3

Can.J.Phys. 83 (2005) 541

Physics

Quantum Physics

11 pages, 5 figures, 4 tables; there are changes to match the version published in Can. J. Phys

Scientific paper

We use a power-series expansion to calculate the eigenvalues of anharmonic oscillators bounded by two infinite walls. We show that for large finite values of the separation of the walls, the calculated eigenvalues are of the same high accuracy as the values recently obtained for the unbounded case by the inner-product quantization method. We also apply our method to the Morse potential. The eigenvalues obtained in this case are in excellent agreement with the exact values for the unbounded Morse potential.

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