Abstract
The resonant-state expansion, a rigorous perturbation theory recently developed in electrodynamics, is applied to nonrelativistic quantum-mechanical systems in one dimension. The method is used here for finding the resonant states in various potentials approximated by combinations of Dirac functions. The resonant-state expansion is first verified for a triple-quantum-well system, showing convergence to the available analytic solution as the number of resonant states in the basis increases. The method is then applied to multiple-quantum-well and barrier structures, including finite periodic systems. Results are compared with the eigenstates in triple quantum wells and infinite periodic potentials, revealing the nature of the resonant states in the studied systems.
- Received 21 May 2018
DOI:https://doi.org/10.1103/PhysRevA.98.022127
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