Matrix elements for the modified Poeschl-Teller potential
Journal Article
·
· International Journal of Quantum Chemistry
- Universidad de Murcia (Spain)
Analytical exact expressions are obtained for matrix elements of the modified Poeschl-Teller oscillator over different operators including powers of the hyperbolic functions sinh({alpha}x), cosh({alpha} x), and tanh({alpha} x) and the differential operators d/dx and d{sup 2}/dx{sup 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. 38 refs., 1 fig.
- OSTI ID:
- 482462
- Journal Information:
- International Journal of Quantum Chemistry, Vol. 57, Issue 1; Other Information: PBD: 5 Jan 1996
- Country of Publication:
- United States
- Language:
- English
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