Schrodinger wave equation

Schrodinger wave equation

##### Author

Davey, Aaron C. H.

##### Faculty Advisor

##### Date

2020

##### Keywords

Schrodinger wave equation , harmonic oscillator system , eigenfunctions

##### Abstract (summary)

The father of quantum mechanics, Erwin Schrodinger, was one of the most important figures in the development of quantum theory. He is perhaps best known for his contribution of the wave equation, which would later result in his winning of the Nobel Prize for Physics in 1933. The Schrodinger wave equation describes the quantum mechanical behaviour of particles and explores how the Schrodinger wave functions of a system change over time. This project is concerned about exploring the one-dimensional case of the Schrodinger wave equation in a harmonic oscillator system. We will give the solutions, called eigenfunctions, of the equation that satisfy certain conditions. Furthermore, we will show that this happens only for particular values called eigenvalues.

##### Publication Information

Davey, A. C. (2020). Schrodinger Wave Equation. MacEwan University Student EJournal (MUSe), 4(1). https://doi.org/10.31542/muse.v4i1.1317

##### DOI

##### Notes

##### Item Type

Student Article

##### Language

English