Abstract
We provide a semiclassical description of the shell structure in large prolate cavities. Level densities and shell-correction energies are obtained from periodic orbit theory, using a version of Gutzwiller’s trace formula that takes into account continuous symmetries. The semiclassical results are compared with their quantum-mechanical counterparts.
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Magner, A.G., Fedotkin, S.N., Ivanyuk, F.A. et al. Shells and periodic orbits in fermion systems. Czech J Phys 48, 845–852 (1998). https://doi.org/10.1023/A:1021455520508
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DOI: https://doi.org/10.1023/A:1021455520508