# Path-integral approach to the Wigner-Kirkwood expansion.

@article{Jizba2014PathintegralAT, title={Path-integral approach to the Wigner-Kirkwood expansion.}, author={P. Jizba and V{\'a}clav Zatloukal}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={89 1}, pages={ 012135 } }

We study the high-temperature behavior of quantum-mechanical path integrals. Starting from the Feynman-Kac formula, we derive a functional representation of the Wigner-Kirkwood perturbation expansion for quantum Boltzmann densities. As shown by its applications to different potentials, the presented expansion turns out to be quite efficient in generating analytic form of the higher-order expansion coefficients. To put some flesh on the bare bones, we apply the expansion to obtain basic… CONTINUE READING

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