# deBroglie_wavelength

plasmapy.formulary.quantum.deBroglie_wavelength(V: Unit('m / s'), particle)

Return the de Broglie wavelength.

The de Broglie wavelength ($$λ_{dB}$$) of a particle is defined by

$λ_{dB} = \frac{h}{p} = \frac{h}{γ m V}$

where $$h$$ is the Planck constant, $$p$$ is the relativistic momentum of the particle, $$γ$$ is the Lorentz factor, $$m$$ is the mass of the particle, and $$V$$ is the velocity of the particle.

Parameters
• V (Quantity) – Particle velocity in units convertible to meters per second.

• particle (str, Particle, or Quantity) – An instance of Particle, or an equvalent representation (e.g., 'e', 'p', 'D+', or 'He-4 1+'), for the particle of interest, or the particle mass in units convertible to kg. If a Particle instance is given, then the particle mass is retrieved from the object.

Returns

lambda_dB – The de Broglie wavelength in units of meters.

Return type

Quantity

Raises
Warns

UnitsWarning – If units are not provided, SI units are assumed.

Examples

>>> from astropy import units as u
>>> velocity = 1.4e7 * u.m / u.s
>>> deBroglie_wavelength(velocity, 'e')
<Quantity 5.18997095e-11 m>
>>> deBroglie_wavelength(V = 0 * u.m / u.s, particle = 'D+')
<Quantity inf m>