Modification of The Transition Rate in The Hydrogen Atom placed in Finite Space

When a hydrogen atom trapped in finite space formed by two parallel perfectly conducting plates, the transition rates can be modified. Life-time of the hydrogen $2P_{1/2}$-state is estimated to be shorter as much as $56.3ps$ with a separation distance of $b = 1.2 \mu m$ between two plates. Although the modification is dependent on position of the atom, the life-time can be shorten or lengthen by adjusting the separation distance even for the case that the atom is placed at the center between two plates.Comment: LaTeX file , 17 pages, no figure, to be published in Z. Phys.

Overbarrier Resonances as Solutions of Set Inhomogeneous Schr\"{o}dinger Equations

In the paper the Schr\"odinger equation for quasibound resonance state with complex energy is considered. The system of inhomogeneous differential equations is obtained for the real and imaginary parts of wave function. On the base of known solution of corresponding homogeneous equation, the inhomogeneus system is solved with help of iteration procedure. The single-particle neutron $2p$-state in the Woods - Saxon potential is analyzed for $^{13}C$ nucleus.Comment: 19 pages, 3 figure