The algebraic approach to the Morse oscillator
โ Scribed by Berrondo, M; Palma, A
- Book ID
- 121259095
- Publisher
- Institute of Physics
- Year
- 1980
- Tongue
- English
- Weight
- 451 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0305-4470
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The rcllrction amplitude of the onedimensional Mom ossillntor is calculated algebraicslIp within a recently introduccd group theory approach to scattering.
A new realization of the algebra SU( 1.1). associated nitil the one-dimensional Morse oscillator. is introduced. Thr catculation of the Morse reflection zunpli:udc is then formulrtted via a recently established algebraic npproxh to the sc311erinp matrix In rhis approach the invariance group of the
The hlagnus approsimation is used to fiid a closed solution to the forced anharmonic oscillator described by the SU(2) algebra. Tbc solution is compared to an esact integration of the SchrBdinger equation. TWO types of time-dependent perturbation are considered: periodic and of finite duration.
An algebraic approach has been used to treat the linearly forced Morse+xcillator problem. It is shown that the dynamkxl algebra is equivalent to that for the Iif = 2 harmonic+scillator casz. Dissociation probabilities arc calculs;cd using a sudden approximation. They show a strong dependence on init