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Closed expressions for matrix elements of the trigonometric Pöschl–Teller potential

✍ Scribed by Michaël Rey; Françoise Michelot

Book ID
111713606
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
192 KB
Volume
374
Category
Article
ISSN
0375-9601

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Analytical exact expressions are obtained for matrix elements of the modified Poschl-Teller oscillator over different operators including powers of the hyperbolic functions sinh( a x ) , cosh(a x ) , and tanh( a x) and the differential operators d / d x and d 2 / d x 2 . These expressions are derive

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✍ M. Hamzavi; A. A. Rajabi 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 771 KB

## Abstract The trigonometric Pöschl‐Teller (PT) potential describes the diatomic molecular vibration. By using the Nikiforov‐Uvarov method, we have obtained the exact analytical s‐wave solutions of the radial Schrödinger equation (SE) for the trigonometric PT potential. The energy eigenvalues and