RESONANT STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM
DOI:
https://doi.org/10.33003/fjs-2020-0403-394Keywords:
: Boundary conditions, Eigenstates, Complex solution, Schrödinger’s equation, MATLABAbstract
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.
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