RESONANT STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM

Authors

Keywords:

: Boundary conditions, Eigenstates, Complex solution, Schrödinger’s equation, MATLAB

Abstract

In this work, the concept of resonant states (RSs) in a finite square quantum well is presented. We first derive the analytic secular transcendental equations for even and odd states by applying the outgoing wave boundary conditions into the one-dimensional Schrödinger’s wave equation. The complex solution of these equations is found using the numerical Newton-Raphson method implemented in MATLAB. We can see in particular, that the RSs present a general class of Eigenstates, which includes bound states, anti-bound states, and normal RSs.

Dimensions

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Published

23-09-2020

How to Cite

RESONANT STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 300-304. https://doi.org/10.33003/fjs-2020-0403-394

Issue

Vol. 4 No. 3 (2020): FUDMA Journal of Sciences - Vol. 4 No. 3

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

RESONANT STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 300-304. https://doi.org/10.33003/fjs-2020-0403-394

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