Physics – Quantum Physics
Scientific paper
2006-02-03
J.Phys. A39 (2006) L285-L292
Physics
Quantum Physics
Scientific paper
10.1088/0305-4470/39/18/L05
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.
Matinyan Sergei G.
Müller Berndt
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