A glimpse of matrix mechanics via the harmonic oscillator
In this paper, we provide a glimpse of the original formulation of quantum mechanics (a.k.a. matrix mechanics), as proposed by Heisenberg, Born, and Jordan in 1925, by showing how it solves the quantum harmonic oscillator. This presentation can shed light on the relationship between different formulations and give students a deeper understanding of quantum mechanics.
Authors
- Elina Palmgren (ORCID: https://orcid.org/0000-0003-0036-2282)
- Ricardo Karam (ORCID: https://orcid.org/0000-0003-2567-8179)
Institutions
- University of Copenhagen (DK)
- University of Helsinki (FI)
- Helsinki Institute of Physics (FI)
Publication Details
- Journal
- American Journal of Physics
- Published
- 2024-12-23
- DOI
- https://doi.org/10.1119/5.0141573
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Magnus Ehrnroothin Säätiö