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

  • Achim Byl University College Roosevelt

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.

How to Cite
BYL, Achim. A Semi-Analytical Solution to the Schr ¨ odinger Equation with Gaussian Well. Student Undergraduate Research E-journal!, [S.l.], v. 4, nov. 2018. ISSN 2468-0443. Available at: <https://journals.library.tudelft.nl/index.php/sure/article/view/2842>. Date accessed: 14 dec. 2018. doi: https://doi.org/10.25609/sure.v4.2842.
Published
2018-11-09