Shooting Method for Analysis of Quantum Wells with Arbitrary Potential Profiles
Keywords:
Shooting Method, Quantum Wells, Arbitrary Potential, Schrodinger equationAbstract
This paper presents a simple method for accurately calculating energy eigenvalues and eigenfunctions in quantum wells by using shooting method. This method is applicable to various potential barriers and wells, including continuous variations of potential energy. Various potential structures, i.e., single finite quantum well, triple finite quantum wells and multiple irregular quantum
wells, are analyzed to show the feasibility of this method. This method is useful to find the eigenfunction and energy eigenvalues, which are very important parameters to analyze and design quantum tunneling devices.
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