A Semi-Analytical Solution to the Schr ¨ odinger Equation with Gaussian Well

Authors

  • Achim Byl University College Roosevelt

DOI:

https://doi.org/10.25609/sure.v4.2842

Keywords:

Schr¨odinger equation, Gaussian well, harmonic oscillator

Abstract

This paper proposes a new semi-analytical solution of the Schr¨odinger equation with Gaussian well. The approach is based on the harmonic oscillator and yields both the energy and the wave function for any specific eigenstate. Furthermore, the semi-analytical solution is compared to methods found in the literature and the Split-Operator method and deemed accurate.

Student Research Conference 2018

Additional Files

Published

2018-11-09

Issue

Vol. 4 (2018): Student Research Conference 2018

Section

Natural Sciences & Engineering

License

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