Correspondence between classical and quantummechanical Boltzmann equations

I. Kuščer, H.F.P. Knaap and J.J.M. Beenakker

Physica A: Statistical Mechanics and its Applications, 1981, vol. 108, issue 1, 265-278

Abstract: To compare quantummechanical and classical Boltzmann equations for molecular gases, a correspondence is proposed for functions of angular momentum. Equivalence between irreducible tensors of both kinds is prescribed in a unique way by demanding that trace-averages of binary operator products be equal to solid-angle averages of products of the classical equivalents. Application to the linearized Waldmann-Snider equation for rigid linear molecules leads to an equivalent system for a set of functions φj(r, υ, ω, t), j = 0, 1, 2,…. If the quantum number j is approximated by a continuous variable, the system goes over into a single classical equation.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:108:y:1981:i:1:p:265-278

DOI: 10.1016/0378-4371(81)90179-5

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