Relativistic de Broglie Wavelength by Momentum
The de Broglie wavelength is the wavelength associated with a massive particle in motion according to quantum mechanics accounting for relativistic effects.
The de Broglie wavelength equals the Planck constant divided by the relativistic momentum.
Formula
![QuantityVariable["λ", "Wavelength"] == Quantity[1, "PlanckConstant"]/QuantityVariable["p", "Momentum"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/e58/e58252af-b586-40e3-a3f1-11e7af989b6c/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| λ | wavelength | "Wavelength" |
| p | momentum | "Momentum" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Relativistic de Broglie Wavelength by Momentum"]](images/e58/e58252af-b586-40e3-a3f1-11e7af989b6c-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[
ResourceObject["Relativistic de Broglie Wavelength by Momentum"]]](images/e58/e58252af-b586-40e3-a3f1-11e7af989b6c-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[
ResourceObject[
"Relativistic de Broglie Wavelength by Momentum"], \
{QuantityVariable["p","Momentum"] ->
Quantity[1.67`*^-27, ("Kilograms" "Meters")/("Seconds")]}]](images/e58/e58252af-b586-40e3-a3f1-11e7af989b6c-io-3-i.en.gif) |
| Out[3]= |  |