Kramers–Heisenberg dispersion formula
E415083
The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Kramers–Heisenberg dispersion formula canonical | 2 |
| Kramers–Heisenberg formula | 2 |
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
dispersion formula
ⓘ
quantum mechanical formula ⓘ scattering theory formula ⓘ |
| appliesTo |
elastic light scattering
ⓘ
inelastic light scattering ⓘ |
| approximationOf | full quantum electrodynamical scattering description ⓘ |
| basisFor |
Raman scattering theory
ⓘ
nonresonant Raman scattering ⓘ nonresonant inelastic X-ray scattering descriptions ⓘ resonant Raman scattering ⓘ resonant inelastic X-ray scattering ⓘ |
| characterizes |
line shapes in scattering spectra
ⓘ
polarization dependence of scattered light ⓘ resonant enhancement near electronic transitions ⓘ |
| dependsOn |
final quantum state of the system
ⓘ
incident photon energy ⓘ initial quantum state of the system ⓘ scattered photon energy ⓘ sum over intermediate quantum states ⓘ transition matrix elements between states ⓘ |
| describes |
frequency dependence of scattered radiation
ⓘ
quantum mechanical dispersion of radiation ⓘ scattering of light by atoms ⓘ scattering of light by molecules ⓘ |
| field |
atomic physics
ⓘ
molecular physics ⓘ optics ⓘ quantum mechanics ⓘ |
| historicalPeriod | early quantum mechanics era ⓘ |
| namedAfter |
Hendrik Anthony Kramers
ⓘ
Werner Heisenberg ⓘ |
| relatedTo |
Compton effect
ⓘ
surface form:
Compton scattering
Fermi golden rule ⓘ
surface form:
Fermi’s golden rule
Kramers–Kronig relations ⓘ Rayleigh scattering ⓘ Thomson scattering ⓘ optical theorem ⓘ |
| relates |
incident photon frequency to scattered photon frequency
ⓘ
scattering amplitude to intermediate quantum states ⓘ scattering cross section to transition matrix elements ⓘ |
| usedIn |
Raman effect
ⓘ
surface form:
Raman spectroscopy
X-ray spectroscopy ⓘ nonlinear optics ⓘ resonant inelastic X-ray scattering experiments ⓘ spectroscopy ⓘ |
| usesConcept |
Kramers–Kronig relations
ⓘ
energy denominators involving intermediate states ⓘ second-order time-dependent perturbation theory ⓘ transition dipole moments ⓘ virtual intermediate states ⓘ |
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Kramers–Heisenberg formula
this entity surface form:
Kramers–Heisenberg formula