MathLiveBorn rule
In quantum mechanics, it gives the probability of measuring an eigenvalue as the squared modulus of the inner product between the system's state vector and the corresponding eigenstate. It is used to predict measurement outcomes for a quantum system.
P(\lambda_i)=\left|\langle\lambda_i|\psi\rangle\right|^2What the symbols mean
| probability of observing the eigenvalue \lambda_i | |
| eigenvalue of the measured observable | |
| quantum state vector of the system | |
| eigenstate corresponding to the eigenvalue \lambda_i | |
| inner product (probability amplitude) between the eigenstate and the state |
About this formula
- FieldPhysics
- TopicQuantum mechanics
- LevelUniversity
- Also calledBorn law, Born's law, Born's postulate, probability of measurement outcome quantum, quantum measurement probability, squared inner product probability
- SourceWikidata Q894014
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “born rule”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.