# Quantum Mechanics 13 - Schrodinger Wave Equation

### APA

Epp, R. (2008). Quantum Mechanics 13 - Schrodinger Wave Equation. Perimeter Institute. https://pirsa.org/08080088

### MLA

Epp, Richard. Quantum Mechanics 13 - Schrodinger Wave Equation. Perimeter Institute, Aug. 16, 2008, https://pirsa.org/08080088

### BibTex

@misc{ pirsa_PIRSA:08080088, doi = {}, url = {https://pirsa.org/08080088}, author = {Epp, Richard}, keywords = {}, language = {en}, title = {Quantum Mechanics 13 - Schrodinger Wave Equation}, publisher = {Perimeter Institute}, year = {2008}, month = {aug}, note = {PIRSA:08080088 see, \url{https://pirsa.org}} }

University of Waterloo

Talk number

PIRSA:08080088

**Collection**

Abstract

A “derivation” of the Schrodinger wave equation based on simple calculus.

Learning Outcomes:

• How to express the de Broglie wave of a free particle, i.e. a complex traveling wave, in terms of the particle’s energy and momentum, and how to differentiate this wave with respect to its space and time variables (x and t).

• How to combine the above mathematical results with the Newtonian expression for the total energy of a particle to get Schrodinger’s wave equation.

• Dirac’s extension of these ideas to Einstein’s expression for the total energy of a particle: introduction to spin, antimatter, and the Standard Model of particle physics.

Learning Outcomes:

• How to express the de Broglie wave of a free particle, i.e. a complex traveling wave, in terms of the particle’s energy and momentum, and how to differentiate this wave with respect to its space and time variables (x and t).

• How to combine the above mathematical results with the Newtonian expression for the total energy of a particle to get Schrodinger’s wave equation.

• Dirac’s extension of these ideas to Einstein’s expression for the total energy of a particle: introduction to spin, antimatter, and the Standard Model of particle physics.