Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
electrons in crystals
|
| gptkbp:category |
physics theorem
|
| gptkbp:describes |
wavefunctions in periodic potentials
|
| gptkbp:enables |
classification of electronic states by crystal momentum
|
| gptkbp:field |
quantum mechanics
solid-state physics |
| gptkbp:form |
ψ_k(r) = e^{ik·r}u_k(r), where u_k(r) has the periodicity of the lattice
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bloch's theorem
|
| gptkbp:importantFor |
fundamental to understanding electronic properties of solids
|
| gptkbp:language |
gptkb:mathematics
|
| gptkbp:namedAfter |
gptkb:Felix_Bloch
|
| gptkbp:relatedTo |
gptkb:Kronig-Penney_model
gptkb:Brillouin_zone insulators metals semiconductors band structure |
| gptkbp:state |
the eigenstates of a particle in a periodic potential can be written as a plane wave modulated by a periodic function
|
| gptkbp:usedIn |
band theory of solids
|
| gptkbp:yearProposed |
1928
|
| gptkbp:bfsParent |
gptkb:Bloch_wave
gptkb:Kronig–Penney_model |
| gptkbp:bfsLayer |
5
|