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Relativistic de Broglie Frequency by Velocity

The de Broglie frequency is the frequency associated with a massive particle in motion according to quantum mechanics, accounting for relativistic effects.

The de Broglie frequency is proportional to the mass divided by the square root of 1 minus the square of the ratio between the velocity and the speed of light.

Formula

QuantityVariable["f", "Frequency"] == (Quantity[1, "SpeedOfLight"^2/"PlanckConstant"]*QuantityVariable["m", "Mass"])/Sqrt[1 + Quantity[-1, "SpeedOfLight"^(-2)]*QuantityVariable["v", "Speed"]^2]

symbol description physical quantity
f frequency "Frequency"
m mass "Mass"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic de Broglie Frequency by Velocity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Relativistic de Broglie Frequency by Velocity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic de Broglie Frequency by Velocity"], {QuantityVariable[ "v","Speed"] -> Quantity[1, ("Meters")/("Seconds")], QuantityVariable["f","Frequency"] -> Quantity[1.`, "Hertz"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1924

Publisher Information