Asymmetric propagation of electronic wave function through molecular bonding and anti-bonding states

Electron transport through molecular bridge shows novel quantum features. Propogation of electronic wave function through molecular bridge is completely different than individual atomic bridge employed between two contacts. In case of molecular bridge electronic wave propagators interfere and effect conduction through molecular bonding and anti-bonding states.In the present work i showed through simple calculation that interference of electronic wave propagators cause asymmetric propagation of electronic wave through bonding and anti-bonding state. While for hydrogenic molecule these propagators interfere completely destructively for bonding state and constructively for anti-bonding state, giving rise to only one peak in spectral function for anti- bonding state.