Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics   A general three-dimensional noncommutative quantum mechanical system mixing
spatial and spin degrees of freedom is proposed. The analogous of the harmonic
oscillator in this description contains a magnetic dipole interaction and the
ground state is explicitly computed and we show that it is infinitely
degenerated and implying a spontaneous symmetry breaking. The model can be
straightforwardly extended to many particles and the main above properties are
retained. Possible applications to the Bose-Einstein condensation with
dipole-dipole interactions are briefly discussed.

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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph