Relativistic de Broglie Wavelength by Kinetic Energy

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 is proportional to the reciprocal of the square root of the kinetic energy squares plus the product of the kinetic energy, the mass and twice the square of the speed of light.

Formula

QuantityVariable["λ", "Wavelength"] == Quantity[1, "PlanckConstant"*"SpeedOfLight"]/Sqrt[QuantityVariable["K", "Energy"]^2 + Quantity[2, "SpeedOfLight"^2]*QuantityVariable["K", "Energy"]*QuantityVariable["m", "Mass"]]

symbol	description	physical quantity
λ	wavelength	"Wavelength"
K	kinetic energy	"Energy"
m	mass	"Mass"

Forms

Examples

Open in Wolfram Cloud

Download Example Notebook

Get the resource:

In[1]:=

Out[1]=

Get the formula:

In[2]:=

Out[2]=

Use some values:

In[3]:=

$FormulaData[ ResourceObject[ "Relativistic de Broglie Wavelength by Kinetic Energy"], \ {QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[400, "Nanometers"]}]$

Out[3]=

Wolfram Formula Repository (Under Development)

Relativistic de Broglie Wavelength by Kinetic Energy

Formula

Forms

Examples

External Links

Source Metadata

Publisher Information