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- W2913606551 abstract "The harmonic oscillator is a quantum mechanical system that represents one of the most basic potentials. In order to understand the behavior of a particle within this system, the time-independent Schrödinger equation was solved; in other words, its eigenfunctions and eigenvalues were found. The first goal of this study was to construct a family of single parameter potentials and corresponding eigenfunctions with a spectrum similar to that of the harmonic oscillator. This task was achieved by means of supersymmetric quantum mechanics, which utilizes an intertwining operator that relates a known Hamiltonian with another whose potential is to be built. Secondly, a generalization of the technique was used to work with the time-dependent Schrödinger equation to construct new potentials and corresponding solutions." @default.
- W2913606551 created "2019-02-21" @default.
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- W2913606551 date "2018-12-16" @default.
- W2913606551 modified "2023-09-23" @default.
- W2913606551 title "Generation of Time-Independent and Time-Dependent Harmonic Oscillator-Like Potentials Using Supersymmetric Quantum Mechanics" @default.
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- W2913606551 doi "https://doi.org/10.14434/iujur.v4i1.24522" @default.
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