Boltzmann’s Equation

  • Eleftherios N. EconomouEmail author
Part of the Graduate Texts in Physics book series (GTP)


The function to be determined by employing Boltzmann’s equation (BE) is the density f(r, k; t) of particles in a 2×D-dimensional phase space; f(r, k, t) is defined by the relation \( dN \equiv (2S+1) \frac{d^{D}rd^{D}k}{(2\pi)^D} f(r, k; t) \), where dN is the number of particles in the phase space volume element dDrdDk around the point r, k at time t. In what follows, we shall assume that the spin s = 1/2 for fermions and s = 1 for bosons. Since we specify both the position, r, and the (crystal) momentum, _k, it is clear that we work within the framework of the semiclassical approximation.


Phase Space Wave Vector Linear Response Solid Angle Particle Interaction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Foundation for Research and Technology-Hellas (FORTH) Department of PhysicsUniversity of CreteHeraklionGreece

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