Symmetrical Double-Well Potential and its Application

In this work, the Schroedinger equation with one dimensional double-well potential have been derived for obtaining the explicit solutions in classically allowed regions and for the ones in the classically forbidden region. The solutions are matched where the potential is discontinuous. The oscillatory behavior of symmetrical double-well potential is also considered from the view point of tunneling in quantum mechanics. Angular frequency of changing double-well potential states is computed in this work. The quantum tunneling in a double-well potential appears in a variety of physical cases