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Matrix elements for the modified Pöschl—Teller potential

✍ Scribed by José Zúñiga; Mercedes Alacid; Alberto Requena; Adolfo Bastida

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
486 KB
Volume
57
Category
Article
ISSN
0020-7608

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✦ Synopsis

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 derived using explicitly the Poschl-Teller eigenfunctions. In addition, several recursion relations connecting different Poschl-Teller matrix elements are obtained using the factorization and hypervirial techniques. It is shown that these relations can be used to make easier the computation of the matrix elements.

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