Semiclassical and High-Temperature Expansions for Systems with Magnetic Field
We discuss semiclassical and high-temperature expansions for the off-diagonal thermal kernel of quantum systems with non-uniform, time- In particular, we give an equation for the WKB-approxi- mation for such systems. Furthermore, we provide recursion relations and an efficient diagrammatic method, based on functional integration techniques,to calculate explicitly the coefficients in these expansions. Finally, we briefly indicate the connection between the semiclassical and high-temperature expansions.
KeywordsRecursion Relation Field Tensor Uniform Magnetic Field Semiclassical Expansion Average Interparticle Distance
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- 4.S. Albeverio and T. Arede, “The relation between quantum mechanics and classical mechanics: A survey of some mathematical aspects”. University of Bielefeld, ZiF-preprint 1984.Google Scholar
- 5.D. Bolle and D. Roekaerts, “Equation for the WKB-approxi- mation and Wigner-Kirkwood expansions for systems with magnetic fields”. University of Leuven preprint KUL-TF- 84/3.Google Scholar
- 6.D. Bolle and D. Roekaerts, in preparation.Google Scholar