Skip to main content
  1. Home
  2. Illustrations
  3. 📖

Illustration Squared magnitude - Normalization condition - Integration over the entire space

Level 3
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
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.

For the statistical interpretation of quantum mechanics (Copenhagen interpretation) to make any sense at all, the normalization condition must be fullfilled:\[ \int_{-\infty}^{\infty} |\mathit{\Psi}(x,t)|^2 \, \text{d}x ~=~ 1 \]

The normalization condition states that the probability of finding the particle somewhere in space must be 1. The integral is the area under the \( |\mathit{\Psi}(x,t)|^2 \)-curve.

Details about the illustration

This illustration is also available in other languages:
English
  • License: CC BY 4.0This illustration may be used with indication of the copyright!
  • Copyright: © 2020
  • This illustration was uploaded by FufaeV on .
  • This illustration was updated by FufaeV on .
How satisfied are you?