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arxiv: 1210.5894 · v1 · pith:635I7AMKnew · submitted 2012-10-22 · 🪐 quant-ph

Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential

classification 🪐 quant-ph
keywords potentialtrigonometricexacts-waveanalyticalcalculatedclosedcorresponding
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The trigonometric P\"oschl-Teller (PT) potential describes the diatomic molecular vibration. By using the Nikiforov-Uvarov (NU) method, we have obtained the exact analytical s-wave solutions of the radial Schr\"odinger equation (SE) for the trigonometric PT potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented too.

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