Tunneling through a time-dependent barrier - a numerical studyPRANAB SARKARDepartment of Chemistry, Visvabharati University, Santiniketan 731 235, India Abstract. We present a numerical investigation of quantum mechanical tunneling process in a double well potential with fluctuating barrier. The tunneling probability and rate are calculated for two cases in which (i) the height of the barrier is undergoing harmonic oscillation with frequency w and (ii) the height of the barrier is undergoing random fluctuation with frequency w. It is observed that in both cases, the quantum mechanical tunneling probability and rate exhibit a maximum as a function of the fluctuation frequency. The optimal frequency i.e. the frequency at which rate exhibits a maximum shows a strong isotopic mass effect. Keywords Time-dependent barrier; fluctuation frequency; tunneling rate. Pacs No. 31.70 Dk; 03.65 |