The time-dependent expectation value of the triplet metastable He atom is obtained by starting from the singlet state and solving the time-dependent Schrödinger equation directly, to the eighth-order of V, where V is the transfer integral between the conduction electron state and the 2s state of the He atom. The results show that rapid singlet-triplet conversion on the low work-function metal surface occurs through the valence fluctuation state. The quasi-static approximation is demonstrated to be valid to the eighth-order of V. The previously conjectured closed form of the transition rate for the conversion is confirmed.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Surfaces and Interfaces
- Surfaces, Coatings and Films
- Materials Chemistry