Abstract
The one-dimensional wave equation is solved in the presence of a symmetric double-barrier potential. An exact, analytical solution is obtained for the scattering states. The transmission and reflection amplitudes are calculated using the method of logarithmic derivative of the exact wave function. In the case of double-barrier potentials, perfect transmission (or zero reflectivity) at zero kinetic energy is non-intuitive. This phenomenon has been revealed and called the “threshold anomaly” in the previous investigations. Here we show that it is a critical phenomenon provided that the inter-barrier distance satisfies a resonance condition. When the resonance condition is fulfilled, the perfect transmission occurs at any energy, including the zero one.
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