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Relativistic de Broglie Frequency by Momentum

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 plus the square root of the sum of the squares of the mass and the momentum.

Formula

QuantityVariable["f", "Frequency"] == Quantity[1, "PlanckConstant"^(-1)]*(Quantity[-1, "SpeedOfLight"^2]*QuantityVariable["m", "Mass"] + Sqrt[Quantity[1, "SpeedOfLight"^4]*QuantityVariable["m", "Mass"]^2 + Quantity[1, "SpeedOfLight"^2]*QuantityVariable["p", "Momentum"]^2])

symbol description physical quantity
f frequency "Frequency"
m mass "Mass"
p momentum "Momentum"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic de Broglie Frequency by Momentum"], {QuantityVariable[ "m","Mass"] -> Quantity[1.`, "NeutronMass"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1924

Publisher Information