Tunneling by an electron packet with an initially sharp wavefront |
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| Institution: | 1. Department of Physics, Sri Sivasubramaniya Nadar College of Engineering (Autonomous), Kalavakkam, 603 110, Chennai, Tamil Nadu, India;2. Centre for Applied Physics and Radiation Technologies, School of Engineering and Technology, Sunway University, 47500, Bandar Sunway, Selangor, Malaysia;3. Department of General Educational Development, Faculty of Science and Information Technology, Daffodil International University, DIU Rd, Dhaka, 1341, Bangladesh;1. Centre for Advanced Research in Physical Sciences, Department of Physics, Fatima Mata National College (Autonomous), Kollam, 691001, India;2. Department of Applied Physics, The Papua New Guinea University of Technology, Lae, Papua New Guinea;3. Centre for Applied Physics and Radiation Technologies, School of Engineering and Technology, Sunway University, 47500, Bandar Sunway, Selangor Darul Ehsan, Malaysia;4. Department of General Educational Development, Faculty of Science and Information Technology, Daffodil International University, DIU Rd, Dhaka, 1341, Bangladesh |
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| Abstract: | We have studied the time behavior of electron wavepackets traversing one-dimensional potentials. These packets are described as plane wave states that have been cut off to give a sharp initial wavefront. We find that the shift, or delay time, of the main part of the pulse is comparable to that of a Gaussian wavepacket with the same momentum, and that both kinds of pulses have the same broad-pulse (sharp-momentum) limit. This is shown to hold for a general class of potentials. We show explicitly that the steepest descents calculation described by Stevens does not lead to a finite tunneling velocity. An exact expression is given for the packet transmitted through a delta-function barrier, which suggests a new interpretation of the tunneling velocity that has been obtained in other calculations. |
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