The physical nature of low-lying energy levels of anharmonic oscillators is shown to be due to quantum reflections on (multiple) complex turning points. Mathematically, certain Stokes' lines linking complex-conjugate turning points may cross the real axis within the classically allowed region at poi
Calculation of energy-level densities of a set of separable anharmonic oscillators
โ Scribed by C. Galloy; J.C. Lorquet
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 377 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
โฆ Synopsis
When one or several oscillators are anharmonic, an appropriate procedure is to calculate the set of energy levels of the anlurmonic uscilluturs by the WkB method from a knowledge of them potential energy function and to convolute the results with the smooth (N(E)) function calculated for the remaining harmonic oscillators by the method of steepest descents
๐ SIMILAR VOLUMES
Laser-induced dissociation of an anharmonic oscillator coupled to a quantum heat bath has been studied. A time-dependent self-consistent field approach has been used in order to solve the time-dependent Schrrdinger equation. The quantum heat bath consists of a set of harmonic oscillators and the dis