Many authors have contributed expressions for obtaining analytical matrix elements for Morse oscillators. In this work, we discuss the advantages of using these expressions. At the same time, we propose a full numerical method to calculate these matrix elements and we compare, for the 12 system, the
Matrix elements for the Morse potential using ladder operators
✍ Scribed by M. Berrondo; A. Palma; J.L. López-Bonilla
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 291 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0020-7608
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📜 SIMILAR VOLUMES
We exhibit that the radial eigenfunctions of a 2D-harmonic oscillator 2DHO may be Ž . regarded as 1D-harmonic oscillator 1DHO matrix elements. From this simple fact and using as a starting point the ladder operators a " for 1DHO, we obtain ladder operators for 2DHO. Furthermore, by using the relatio
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