| Abstract: |
| We develop an analytic theory for the ground state patterns and phase diagram of spin-1 Bose-Einstein condensates in a bounded domain. A complete phase diagram with explicit analytic formulae of Thomas-Fermi solutions on the parameter $q-M$ plane (q: quadratic Zeeman energy, M: total magnetization) for both ferromagnetic and antiferromagnetic systems and an entire characterization of ground-state patterns in the semi-classical regime will be present. We will also show our numerical experiments to compare with the theoretical results. |
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