21–26 Jun 2026
U. Ottawa - Learning Crossroads (CRX) Building
America/Toronto timezone
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resonant-state expansion for non-relativistic wave equation in one dimension

25 Jun 2026, 17:00
15m
U. Ottawa - Learning Crossroads (CRX) Building

U. Ottawa - Learning Crossroads (CRX) Building

100 Louis-Pasteur Private, Ottawa, ON K1N 9N3
Oral (Non-Student) / Orale (non-étudiant(e)) Theoretical Physics / Physique théorique (DTP-DPT) (DTP) R2-7 | (DPT)

Speaker

Dr Abdullahi Tanimu (Department of Physics, Faculty of natural and applied science, Umaru Musa Yar'adua University Katsina, Nigeria)

Description

The resonant state expansion (RSE), a rigorous perturbation theory recently developed in electrodynamics, is here applied to non-relativistic wave equation in one dimension. The resonant state (RSs) of a symmetric double quantum well structure superimposed by a combination of delta functions was first calculated. These RSs are then taken as an unperturbed basis for the RSE. The resonant state expansion is first verified for triple quantum well systems, showing convergence to the available analytic solution as the number of basis resonant states increases. The method is then applied to more complicated systems such as multiple quantum well and barrier structures. Results are compared with the Eigen solution in triple quantum wells and infinite periodic potentials, revealing the nature of the resonant states in the studied systems.

Keyword-1 Unperturbed Resonant States
Keyword-2 Triple quantum wells
Keyword-3 Eigen Solutions

Author

Dr Abdullahi Tanimu (Department of Physics, Faculty of natural and applied science, Umaru Musa Yar'adua University Katsina, Nigeria)

Presentation materials