MathLiveMomentum operator
In quantum mechanics, the momentum operator acts on a wavefunction as the negative imaginary unit times the reduced Planck constant multiplied by the gradient. It is used to represent momentum observables in position space.
\hat{\mathbf{p}}=-i\hbar\nablaWhat the symbols mean
| momentum operator (vector), in units of kg·m/s | |
| imaginary unit | |
| reduced Planck constant, in J·s | |
| nabla (gradient) operator with respect to position |
About this formula
- FieldPhysics
- TopicQuantum mechanics
- LevelUniversity
- Also calledmomentum operator quantum mechanics, quantum momentum operator, p hat operator, momentum operator nabla, position representation momentum operator, -i hbar gradient
- SourceWikidata Q692457
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