The accuracy of the Wigner propagation method is studied for stationary as well as non-stationary states of Morse oscillators. We investigate the possibility of improving the approach by introducing an effective potential. We find that the Wigner propagation method is accurate only for the ground st
Analytic quantum mechanics of the morse oscillator
β Scribed by R. Wallace
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 330 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
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 form, the hlorse osci!lator becomes. as the harmonic oscillator has been, a practical building block in molecular theory.
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 rcllrction amplitude of the onedimensional Mom ossillntor is calculated algebraicslIp within a recently introduccd group theory approach to scattering.