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- W4255996857 abstract "Abstract Having examined free particles and particles that are confined in space by a potential energy term, we now consider the impact of a disturbance in the flat energy landscape for a free particle. By disturbance we means some kind of fixed “obstacle” which is either a positive (repelling) or negative (attractive) potential. We are interested in determining the impact on the free particle. Continuing to work mostly in one dimension, the particle described by a plane wave corresponding to momentum moving in the positive direction (a positive k−vector in the x−direction), we study elastic scattering. In one dimension, this means that we determine the probability that the particle is transmitted (continuing in the forward direction) or reflected (now moving in the backward direction.) We will also determine the nature of the solution inside the potential and in the case that the potential energy maximum is greater than the kinetic energy of the particle, we will show that the particle tunnels through the barrier. Interestingly, when we have two barriers, we can find conditions where the probability that the particle is transmitted is unity. This is the result of resonance, a feature of the wave-like nature of the particle’s wave function." @default.
- W4255996857 created "2022-05-12" @default.
- W4255996857 creator A5074954431 @default.
- W4255996857 date "2021-04-30" @default.
- W4255996857 modified "2023-09-27" @default.
- W4255996857 title "Scattering, Quantum Current, and Resonant Tunneling" @default.
- W4255996857 doi "https://doi.org/10.1093/oso/9780192895073.003.0005" @default.
- W4255996857 hasPublicationYear "2021" @default.
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