Transmission properties of the one-dimensional array of delta potentials

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.

5 pages, 4 figures

References in corpus (5)

• Entanglement of Two Impurities through Electron Scattering
• Entanglement Controlled Single-Electron Transmittivity
• Extraction of Singlet States from Noninteracting High-Dimensional Spins
• Extended States in a One-dimensional Generalized Dimer Model
• Conductance of quantum wires: a numerical study of the effects of an impurity and interactions

Cited by in corpus (4)

• Recurrence in resonant transmission of one-dimensional array of delta potentials
• Entanglement of magnetic impurities through electron scattering in an electric field
• One-dimensional quantum scattering from multiple Dirac delta potentials: A Python-based solution
• Analytical study of nano-scale logical operations