One atom at a time

Mariette DiChristina

Phil Szuromi

Deepak Kumar

In order to evaluate the critical temperature for Bose- Einstein Condensation of the atom molecule mixture at the fixed total atomic density, one studies the effective atom-molecular theory. In this study one considers the real-time dynamics of the system by driving the Heisenberg equation of motion for the field operators that annihilate an atom and a molecule at a given space and time. To determine the Heisenberg equation of motion for these field operators, one first have to perform an analytical continuation from the Matsusara frequencies to real frequencies. For simplicity, one assumes that one is close to the resonance and one is allowed to neglect the energy dependence of the effective atomic interactions and the effective atom-molecule coupling. Moreover, one takes only the leading order energy dependence of the molecular self-energy into account.

P. Kamenov

In this paper it is shown that if one accept assumption of de Broglie that "unitary wave-particle" exists simultaneously and this coexistence is real, then one can find the mean life time of the hydrogen atom of Bohr (intensities).

Anonymous