Commutator of operators

Metadata
shorthands: {}
aliases: [Commutator, commutator]
created: 2021-12-11 07:52:32
modified: 2022-01-10 04:13:04

Consider two linear operators on Hilbert space . Their commutator is then:

If it is zero, then they commute.

Properties

  1. for all

Property 4 is equivalent to the Jacobi identity:

See also