De Broglie Angular Frequency by Momentum
The de Broglie angular frequency is the angular frequency associated with a massive particle in motion according to quantum mechanics.
The de Broglie angular frequency equals half the square of the particle momentum divided by the reduced Planck constant and mass.
Formula
![Copy to Clipboard QuantityVariable["ω", "AngularFrequency"] == (Quantity[1/2, "ReducedPlanckConstant"^(-1)]*QuantityVariable["p", "Momentum"]^2)/QuantityVariable["m", "Mass"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/10f/10f781b6-da74-46f8-8683-079d0fb2f4be/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| ω | angular frequency | "AngularFrequency" |
| m | mass | "Mass" |
| p | momentum | "Momentum" |
Forms
Examples
Get the resource:
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| Out[1]= | ![]() |
Get the formula:
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Use some values:
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![FormulaData[
ResourceObject[
"De Broglie Angular Frequency by Momentum"], {QuantityVariable[
"p","Momentum"] ->
Quantity[1.67`*^-27, ("Kilograms" "Meters")/("Seconds")],
QuantityVariable["\[Omega]","AngularFrequency"] ->
Quantity[1, ("Radians")/("Seconds")]}]](images/10f/10f781b6-da74-46f8-8683-079d0fb2f4be-io-3-i.en.gif)