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On the Completeness of the Quasinormal Modes of the Pöschl–Teller Potential

✍ Scribed by Horst R. Beyer

Publisher
Springer
Year
1999
Tongue
English
Weight
203 KB
Volume
204
Category
Article
ISSN
0010-3616

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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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## 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