momentum operator (in quantum mechanics)
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:quantum_mechanical_operator
|
| gptkbp:actsOn |
wave function
|
| gptkbp:appearsIn |
gptkb:Schrödinger_equation
gptkb:Heisenberg_uncertainty_principle |
| gptkbp:commutation_relation |
[x̂, p̂] = iħ
|
| gptkbp:commutesWith |
Hamiltonian (for free particle)
|
| gptkbp:component |
p̂_x
p̂_y p̂_z |
| gptkbp:dimensions |
ML/T
|
| gptkbp:eigenfunctions |
plane waves
|
| gptkbp:eigenvalue_equation |
p̂ψ = pψ
|
| gptkbp:generation |
spatial translations
|
| gptkbp:hermitian |
true
|
| gptkbp:mathematical_field |
functional analysis
operator theory |
| gptkbp:measures |
kg·m/s
|
| gptkbp:observable |
momentum
|
| gptkbp:relatedTo |
Hamiltonian operator
angular momentum operator position operator |
| gptkbp:representation_(1D_position_basis) |
-iħ d/dx
|
| gptkbp:representation_(position_basis) |
-iħ∇
|
| gptkbp:symbol |
p̂
|
| gptkbp:bfsParent |
gptkb:self-adjoint_operator
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
momentum operator (in quantum mechanics)
|