Transition Probabilities at Crossing in the Landau-Zener Problem

摘要: We obtain probabilities at a crossing of two linearly time-dependent potentials that are constantly coupled to the other by solving Schrodinger equation. find system which was initially localized one state evolves split into both states crossing. The probability splitting depends on coupling strength such stays initial in its entirety when = 0 while it is divided equally . For finite branching not even and thus complete transfer achieved linear potential problem. Landau-Zener formula for transition expressed terms crossing.