correspondence principle

E814351

The correspondence principle is a concept in quantum theory stating that quantum mechanics must reproduce classical physics results in the limit of large quantum numbers or macroscopic scales.

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correspondence principle canonical 1

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Predicate Object
instanceOf concept in quantum theory ⓘ
physical principle ⓘ
appliesInLimit large quantum numbers ⓘ
macroscopic scales ⓘ
ħ → 0 (Planck constant going to zero) ⓘ
appliesTo angular momentum quantization ⓘ
atomic spectra ⓘ
correspondence between selection rules and classical orbits ⓘ
harmonic oscillator ⓘ
radiation emission and absorption ⓘ
category interpretational principle in quantum mechanics ⓘ
clarifies relationship between microscopic and macroscopic descriptions ⓘ
connectedTo Bohr model of the atom ⓘ
Ehrenfest theorem ⓘ
constraintOn form of quantum operators and commutation relations ⓘ
transition probabilities in the high-quantum-number limit ⓘ
contrastsWith purely classical description at small scales ⓘ
coreIdea quantum mechanics must reproduce classical physics in the appropriate limit ⓘ
ensures consistency between quantum and classical descriptions ⓘ
epistemicRole bridge between classical intuition and quantum formalism ⓘ
field quantum mechanics ⓘ
theoretical physics ⓘ
formulatedIn 1920s ⓘ
hasDomain microscopic–macroscopic correspondence ⓘ
historicalRole guided early development of quantum theory ⓘ
holdsFor average behavior of quantum systems ⓘ
implies expectation values follow classical equations of motion in the classical limit ⓘ
imposes agreement of quantum transition frequencies with classical oscillation frequencies in the limit of large quantum numbers ⓘ
influenced development of semiclassical approximations ⓘ
old quantum theory ⓘ
motivatedBy need to recover classical mechanics as an approximation ⓘ
originatedIn Copenhagen school of quantum mechanics ⓘ
philosophicalAspect continuity between new and old physical theories ⓘ
relatedConcept Bohr–Sommerfeld quantization ⓘ
WKB approximation ⓘ
classical limit of quantum mechanics ⓘ
semiclassical limit ⓘ
relatesTheory classical electrodynamics ⓘ
classical mechanics ⓘ
quantum mechanics ⓘ
requires quantum predictions converge to classical predictions for large quantum numbers ⓘ
statedBy Niels Bohr ⓘ
status widely accepted principle in modern physics ⓘ
usedAs heuristic tool in constructing quantum theories ⓘ
usedFor checking validity of quantum models ⓘ
deriving quantum results from known classical limits ⓘ

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Atombau und Spektrallinien → topic → correspondence principle ⓘ