Elements of Supersymmetric Quantum Mechanics on Examples of Harmonic Oscillator and Pöschl-Teller Potentials

Author: Shokhrat Adgezalovi
Co-authors: Shokhrat Adgezalovi
Keywords: Supersymmetric quantum mechanics, harmonic oscillator, Pöschl-Teller potential, bound state, scattering state
Annotation:

The purpose of this work is to discuss the elements of supersymmetric quantum mechanics and verify the properties in the one-dimensional case. We will derive the property of the energy spectrum for the partner potentials in the case of the bond state and the properties of the reflection and transmission amplitudes in the case of the scattering state. Later, we will check these results on the example of harmonic oscillator and Pöschl-Teller potentials.