De Broglie thermal wavelength

The de Broglie thermal wavelength is defined as

$\Lambda ={\sqrt {\frac {h^{2}}{2\pi mk_{B}T}}}$

where

• h is the Planck constant
• m is the mass
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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)