Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:symmetry |
| gptkbp:actsOn |
boson fields
complex fields fermion fields wavefunction phase |
| gptkbp:appearsIn |
gptkb:quantum_field_theory
electromagnetism quantum mechanics |
| gptkbp:associatedWith |
conservation of electric charge
|
| gptkbp:dimensions |
1
|
| gptkbp:gauge_symmetry_of |
quantum electrodynamics
electromagnetic field |
| gptkbp:generation |
hermitian operator
|
| gptkbp:group_elements |
complex numbers of unit modulus
|
| gptkbp:group_operation |
complex multiplication
|
| gptkbp:hasInvariant |
gauge transformation
phase transformation |
| https://www.w3.org/2000/01/rdf-schema#label |
U(1) symmetry
|
| gptkbp:isomorphicTo |
gptkb:SO(2)
gptkb:circle_group |
| gptkbp:mathematical_notation |
gptkb:U(1)
|
| gptkbp:mathematical_representation |
gptkb:circle_group
|
| gptkbp:parameter |
Angle
|
| gptkbp:relatedTo |
gptkb:Aharonov–Bohm_effect
gptkb:Noether's_theorem photon global symmetry local symmetry phase invariance charge conservation law charge quantization complex scalar field electromagnetic gauge invariance electromagnetic potential phase rotation superselection rule |
| gptkbp:structure |
unitary group of degree 1
|
| gptkbp:type |
continuous symmetry
Abelian symmetry Lie group symmetry |
| gptkbp:used_in |
gptkb:gauge_theory
gptkb:string_theory gptkb:Standard_Model_of_particle_physics condensed matter physics superconductivity grand unified theories fiber bundles |
| gptkbp:bfsParent |
gptkb:XXZ_model
|
| gptkbp:bfsLayer |
5
|