de Broglie wavelength

Gives the wavelength associated with a massive particle from its momentum, as proposed by de Broglie for matter waves. It is used in quantum mechanics to estimate when wave behaviour such as diffraction or interference becomes significant.

\lambda = \frac{h}{p}

What the symbols mean

wavelength of the matter wave (m)
Planck constant (J\cdot s)
momentum of the particle (kg\cdot m/s)

About this formula

  • FieldPhysics
  • TopicQuantum mechanics
  • LevelUniversity
  • Also calledde Broglie relation, matter wave wavelength, wavelength of a particle, de Broglie wavelength formula, wave-particle duality wavelength, lambda equals h over p
  • SourceWikidata Q100981463

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “de broglie wavelength”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas