Illustration Energy quantization - quadratic potential energy function
Level 3
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
Download
- Vector graphics (SVG) awesome for websites download
- Pixel graphics (PNG) awesome for presentations download
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material for any purpose, even commercially.
Sharing and adapting of the illustration is allowed with indication of the link to the illustration.
One-dimensional potential energy function \(W_{\text{pot}}(x)\) depends on the location \(x\). If a quantum mechanical particle is confined in the region between \(x_1\) and \(x_2\), its total energy \(W_n\) is always quantized. Then only energies \(W_0\), \(W_1\), \(W_2\) and so on are allowed, but no energy values in between. For each total energy of the particle there is the corresponding wave function \(\mathit{\Psi}_0\) (ground state), \(\mathit{\Psi}_1\), \(\mathit{\Psi}_2\) and so on (excited states).
