De Broglie thermal wavelength

The de Broglie thermal wavelength is defined as

$\mathrm{\Lambda }=\sqrt{\frac{h^2}{2\pi m{k}_{B}T}}$

where

• h is the Planck constant
• m is the mass
• $k_B$ is the Boltzmann constant
• T is the temperature.

A detailed derivation of the above expression can be found in Configuration integral.

References

1. Louis-Victor de Broglie "On the Theory of Quanta" Thesis (1925)
2. Zijun Yan, "General thermal wavelength and its applications", Eur. J. Phys. 21 pp. 625-631 (2000)