The partition function in the Wigner-Kirkwood expansion

We study the semiclassical Wigner-Kirkwood (WK) expansion of the partition function Z(t) for arbitrary even homogeneous potentials, starting from the Bloch equation. As is well known, the phase-space kernel of Z satisfies the so-called Uhlenbeck-Beth equation, which depends on the gradients of the potential. We perform a chain of transformations to obtain novel forms of this equation that invite analogies with various physical phenomena and formalisms, such as diffusion processes, the Fokker-Planck equation and supersymmetric quantum mechanics. © 2006 IOP Publishing Ltd.

Duke Scholars

Author Berndt Mueller Physics