Wave packet tunneling
نویسندگان
چکیده
The tunneling of Gaussian wave packets has been investigated by numerically solving the one-dimensional Schrödinger equation. The shape of wave packets interacting with a square barrier has been monitored for various values of the barrier width, height and initial width of the wave packet. Compared to the case of free propagation, the maximum of a tunneled wave packet exhibits a shift, which can be interpreted as an enhanced velocity during tunneling. Since its formulation the process of quantum mechanical tunneling has been subject to numerous investigations, theoretical as well as experimental. Of great interest is the question how long the process of tunneling lasts and at which speed a quantum mechanical object penetrates a potential barrier. Well presented reviews concerning the different approaches to tunneling times are given in [1, 2]. At the University of California at Berkeley, experiments were carried out to study single-photon tunneling [3], while at the University 1
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