| Abstract: | We solve the nonlinear Schrödinger equation, taking into account self-interaction through the surrounding medium. We have found that such atoms have a countable set of stable equilibrium states, coinciding with the wave eigenfunctions of an individual atom. We show that transitions of an atom from equilibrium quantum states corresponding to less excited levels to more excited levels occur in jumps, while transitions from equilibrium states corresponding to upper levels to lower levels may occur either as radiationless transitions or be accompanied by spontaneous emission at the eigenfrequency of the quantum transition. We have found the conditions for which a change in the topological structure of the atomic wavefunction is possible. |
