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Exact solution of the modified Pöschl–Teller potential in the tridiagonal representation

✍ Scribed by Guo-Qing Huang-Fu; Min-Cang Zhang

Book ID
112185587
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
745 KB
Volume
112
Category
Article
ISSN
0020-7608

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## 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

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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