Bohr–Sommerfeld quantization
GPTKB entity
Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
quantization rule
|
gptkbp:allows |
integer (quantum number)
|
gptkbp:alsoKnownAs |
old quantum condition
|
gptkbp:appliesTo |
hydrogen atom
classical periodic systems harmonic oscillator |
gptkbp:category |
physics
quantum mechanics |
gptkbp:form |
∮ p dq = n h
|
gptkbp:formedBy |
gptkb:Arnold_Sommerfeld
gptkb:Niels_Bohr |
gptkbp:h |
gptkb:Planck_constant
|
gptkbp:historicalSignificance |
step towards quantum mechanics
|
https://www.w3.org/2000/01/rdf-schema#label |
Bohr–Sommerfeld quantization
|
gptkbp:limitation |
cannot explain fine structure
fails for multi-electron atoms |
gptkbp:precededBy |
modern quantum mechanics
|
gptkbp:replacedBy |
gptkb:Schrödinger_equation
|
gptkbp:state |
the action integral over one period is quantized
|
gptkbp:usedIn |
gptkb:old_quantum_theory
|
gptkbp:yearProposed |
1916
|
gptkbp:bfsParent |
gptkb:Einstein–Brillouin–Keller_method
|
gptkbp:bfsLayer |
4
|