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arXiv · 1008.5181

Transmission properties of the one-dimensional array of delta potentials

G. Cordourier-Maruri·R. de Coss·V. Gupta
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Abstract

The problem of one-dimensional quantum wire along which a moving particle interacts with a linear array of N delta-function potentials is studied. Using a quantum waveguide approach, the transfer matrix is calculated to obtain the transmission probability of the particle. Results for arbitrary N and for specific regular arrays are presented. Some particular symmetries and invariances of the delta-function potential array for the N = 2 case are analyzed in detail. It is shown that perfect transmission can take place in a variety of situations.

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G. Cordourier-Maruri, R. de Coss, V. Gupta. 2010-10-14. Transmission properties of the one-dimensional array of delta potentials. https://doi.org/10.1142/s0217984911026322

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