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
Algebraic calculation of the Morse oscillator scattering matrix
β Scribed by Y. Alhassid
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 293 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
The rcllrction amplitude of the onedimensional Mom ossillntor is calculated algebraicslIp within a recently introduccd group theory approach to scattering.
π SIMILAR VOLUMES
## Rcceivcd 2 hlay 1983 A group theoretical approach to the one-dimensional Morse oscillator, includ-mg both bound and scatterin\_f states, is presented. It is shown that the group describing the scaatterhxg states, Ufl, l), can be obtained from that describing the bound states. U(2), by analytic
The approximate eigenfunctions of the \lorsc oscillator, expressed in terms of Laguorrc polynomials, xc shown to form an approximately ortha\_eonnl basis. Ar!al~~~ic expressions for the matrix elements of common operators are obtained within this representation. With such matrix elements in closed