de Broglie wavelength formula

E154877

physical law quantum mechanics concept

The de Broglie wavelength formula expresses the wave–particle duality of matter by relating a particle’s wavelength to its momentum using fundamental quantum principles.

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All labels observed (3)

Label	Occurrences
de Broglie hypothesis	5
de Broglie wavelength	4
de Broglie wavelength formula canonical	1

How this entity was disambiguated

This entity first appeared as the object of triple T1348247 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: de Broglie wavelength formula
Context triple: [Planck constant, appearsInEquation, de Broglie wavelength formula]

A. reduced Planck constant
The reduced Planck constant (ħ) is a fundamental physical constant that quantifies the scale of quantum effects, commonly appearing in formulations of quantum mechanics and quantum field theory.
B. Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
C. Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
D. Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
E. Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: de Broglie wavelength formula
Target entity description: The de Broglie wavelength formula expresses the wave–particle duality of matter by relating a particle’s wavelength to its momentum using fundamental quantum principles.

A. reduced Planck constant
The reduced Planck constant (ħ) is a fundamental physical constant that quantifies the scale of quantum effects, commonly appearing in formulations of quantum mechanics and quantum field theory.
B. Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
C. Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
D. Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
E. Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
F. None of above. chosen

Statements (48)

Predicate	Object
instanceOf	physical law ⓘ quantum mechanics concept ⓘ
appliesTo	atoms ⓘ electrons ⓘ macroscopic objects in principle ⓘ matter particles ⓘ molecules ⓘ neutrons ⓘ protons ⓘ
assumes	particle has momentum ⓘ
category	quantum theory of matter ⓘ
constantValueApprox	Planck constant ≈ 6.62607015×10⁻³⁴ J·s ⓘ
contrastsWith	classical particle-only description of matter ⓘ
domain	nonrelativistic quantum mechanics ⓘ
expresses	wave–particle duality ⓘ
foundationFor	Davisson–Germer experiment interpretation ⓘ Schrödinger equation development ⓘ electron diffraction ⓘ wave mechanics ⓘ
hasRelativisticExtension	λ = h / γmv ⓘ
implies	all matter has a wavelength ⓘ
introducedBy	Louis de Broglie ⓘ
introducedIn	1924 ⓘ
momentumDefinition	p = mv for nonrelativistic particles ⓘ p = γmv for relativistic particles ⓘ
namedAfter	Louis de Broglie ⓘ
notableParameter	particle mass ⓘ particle velocity ⓘ
predicts	longer wavelength for smaller momentum ⓘ shorter wavelength for larger momentum ⓘ
relatedConcept	Bragg diffraction ⓘ linked to: Bragg's law Heisenberg uncertainty principle ⓘ linked to: uncertainty principle matter waves ⓘ wave–particle duality ⓘ
relates	wavelength to momentum ⓘ
relatesTo	quantum behavior of matter ⓘ
supports	interpretation of particles as waves ⓘ
symbolicForm	λ = h / p ⓘ
unitOfMomentum	kilogram meter per second ⓘ
unitOfWavelength	meter ⓘ
usedIn	diffraction experiments with matter ⓘ electron microscopy ⓘ neutron scattering ⓘ
usesConstant	Planck constant ⓘ
usesSymbol	h for Planck constant ⓘ p for momentum ⓘ λ for wavelength ⓘ
validWhen	quantum effects are significant ⓘ

How these facts were elicited