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Analytical models for valence fermions in isotropic traps
Institution:1. Department of Mechanical and Aerospace Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, United States;2. Applied Engineering Technology-1, Los Alamos National Laboratory, Los Alamos, NM 87545, United States;1. Department of Civil Engineering, Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece;2. SINTEF Industry, N-7465, Trondheim, Norway;3. Department of Resources and Environmental Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-Ku, Tokyo, 169-8555, Japan
Abstract:For isotropic confining Ioffe-Pritchard or TOP potentials, a valence fermion trapped with a closed core of other fermions can be described by an analytical effective one-particle model with a physical eigenspectrum. Related constructions exist for Paul and Penning traps. The analytical models arise from quantum-mechanical supersymmetry.
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