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
Phase space representation of quantum mechanics: Approximate dynamics of the morse oscillator
โ Scribed by N.E. Henriksen; G.D. Billing; F.Y. Hansen
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 459 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
โฆ Synopsis
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 state.
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