Article révisé par les pairs
| Résumé : | Transition probabilities per time unit in the spectrum of the hydrogen atom confined in a spherical cavity are studied with the Dirac equation. The calculations are performed with simple and accurate expansions of the Dirac components provided by the Lagrange-mesh method with small numbers of scaled Jacobi mesh points. The initial and final states as well as intermediate states occurring in two-photon transitions are described with a single Lagrange mesh. With this simplification, accurate matrix elements are easily computed with the Gauss quadrature associated with the Lagrange–Jacobi mesh. One-photon transitions are considered from the n= 2 and 3 levels. Most transition probabilities increase as a negative power of the confinement radius when it becomes small. The two-photon 2 s1 / 2- 1 s1 / 2 transition stops being the main deexcitation channel of the 2 s1 / 2 level when the confinement radius decreases below about 15 atomic units. The 2 p1 / 2 and 2 p3 / 2 levels come below the 2 s1 / 2 level and allow a faster one-photon deexcitation. |
