LaTeX
[A,B]=AB-BAVariables
- A, B: linear operators
How to use this formula
Measures the failure of two operators to commute.
Important notes
- Commutators help determine simultaneous measurability and symmetry structure.
Quick example
For position and momentum, [x,p]=iħ.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Commutators help determine simultaneous measurability and symmetry structure.
- State the Hilbert-space, normalization, operator, basis, and unit conventions used in the calculation.
Worked example
For position and momentum, [x,p]=iħ.
Common mistakes
- Do not combine values with inconsistent units or sign conventions in Operator Commutator; perform a dimensional check before accepting the result.
- Verify the result of Operator Commutator with a known case, inverse operation, dimensional check, or independent calculation before publishing it.
Continue the workflow
Use Operator Commutator in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
[A,B]=AB-BA. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- Digital Library of Mathematical FunctionsNational Institute of Standards and Technology — Definitions, notation, identities, and reference material for mathematical functions.
Frequently asked questions
What is the Operator Commutator used for?
Measures the failure of two operators to commute.
Can I copy this formula as LaTeX?
Yes. Copy [A,B]=AB-BA or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.