A simple coupled harmonic oscillator model is used to test the SCF and adiabatic approximations for coopled-mode sydems. Both approsbnations are quite good; both fair when the unperturbed frequencies of the two modes approach degeneracy. Whiie for two-mode systems the approximations are roughly COmp
Adiabaticity and gauge transformations for an oscillator coupled to a single-mode field
โ Scribed by R. Lefebvre
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 203 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0020-7608
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โฆ Synopsis
The components of the Floquet wave function of an oscillator in various representations are correlated. The transformation from length to velocity gauge can be viewed as a change from a diabatic to an adiabatic representation in the field variable. This is shown in three different ways.
๐ SIMILAR VOLUMES
The Hamiltonian for a free nucleon coupled to an uncharged scalar meson field is transformed to normal modes after dropping all term~ higher than quadratic in the (field and particle) variables. The resulting normal modes represent scattering states and the "runaway solutions" well-known from the co