canonical commutation relations
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:quantum_field_theory
gptkb:quantum_harmonic_oscillator |
| gptkbp:category |
gptkb:C*-algebra
|
| gptkbp:describes |
commutation relations between position and momentum operators
|
| gptkbp:dimensions |
can be generalized to multiple degrees of freedom
|
| gptkbp:field |
mathematical physics
quantum mechanics |
| gptkbp:form |
[A, B] = AB - BA
[x, p] = iħ |
| gptkbp:generalizes |
Poisson brackets
|
| https://www.w3.org/2000/01/rdf-schema#label |
canonical commutation relations
|
| gptkbp:introduced |
gptkb:Werner_Heisenberg
|
| gptkbp:introducedIn |
1925
|
| gptkbp:involves |
gptkb:Hilbert_space
operators |
| gptkbp:relatedTo |
gptkb:Heisenberg_uncertainty_principle
quantization |
| gptkbp:usedIn |
gptkb:Schrödinger_equation
quantum canonical quantization |
| gptkbp:bfsParent |
gptkb:Weyl–Heisenberg_group
gptkb:Heisenberg_group gptkb:Heisenberg_matrix_mechanics |
| gptkbp:bfsLayer |
5
|