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De Broglie’s Matter Waves

Source of package openstax.quantum · OpenStax University Physics, ch. 6 Photons and Matter Waves, module m58765

work
urn:openstax:clir:quantum#M58765
number
OpenStax University Physics, ch. 6 Photons and Matter Waves, module m58765
kind
urn:openstax:clir:quantum#treatise

m58765/index.cnxml at commit d0ed34a (main, 2026-06-11)

edition
urn:openstax:clir:quantum#M58765_MAIN
language
en
officiality
official
materialisation
PINNED_OFFICIAL_BYTES
life cycle
adopted: 2026-06-11

Publications

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Fragments — 3

module/m58765#fs-id1163712336118 · section · referenced by: 2

en · official · sha256:2b1c3bad1b544f2d491700a60734602ddd5d3c97bbbd46aecb8d5751377e569c

<para id="fs-id1163712336118">According to de Broglie’s hypothesis, massless photons as well as massive particles must satisfy one common set of relations that connect the energy <emphasis effect="italics">E</emphasis> with the frequency <emphasis effect="italics">f</emphasis>, and the linear momentum <emphasis effect="italics">p</emphasis> with the wavelength <m:math><m:mi>λ</m:mi><m:mo>.</m:mo></m:math> We have discussed these relations for photons in the context of Compton’s effect. We are recalling them now in a more general context. Any particle that has energy and momentum is a <term id="term-00004">de Broglie wave</term> of frequency <emphasis effect="italics">f</emphasis> and wavelength <m:math><m:mi>λ</m:mi><m:mo>:</m:mo></m:math></para>

Referencing norms: DeBroglieWavelengthFromMomentum, ObservedWaveAgreesWithMomentum

module/m58765#fs-id1163711969341 · defn · referenced by: 1

en · official · sha256:ecaec6d4e0cb3c49923bb328393a3a552debeae483b9643d54eee6794648eff3

<definition id="fs-id1163711969341"> <term>de Broglie wave</term> <meaning id="fs-id1163711969346">matter wave associated with any object that has mass and momentum</meaning> </definition>

Referencing norms: particle_momentum

module/m58765#fs-id1163712141867 · defn · referenced by: 2

en · official · sha256:41f179e04d0c75322835ce43c67e74429b7614df674dae8eae49cab50bf17a86

<definition id="fs-id1163712141867"> <term>de Broglie’s hypothesis of matter waves</term> <meaning id="fs-id1163712189037">particles of matter can behave like waves</meaning> </definition>

Referencing norms: ObservedWaveContradictsMomentum, observed_wavelength

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