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Correspondence between classical and quantummechanical Boltzmann equations

Author

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

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.

Suggested Citation

  • Kuščer, I. & Knaap, H.F.P. & Beenakker, J.J.M., 1981. "Correspondence between classical and quantummechanical Boltzmann equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(1), pages 265-278.
    • Handle: RePEc:eee:phsmap:v:108:y:1981:i:1:p:265-278
    DOI: 10.1016/0378-4371(81)90179-5
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