Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation, breathing and transition of matter-wave packet trains   We find a set of new exact solutions of a quantum harmonic oscillator, which
describes some wave-packet trains with average energy being proportional to
both the quantum level and classical energy of the oscillator. Center of the
wave-packet trains may oscillate like a classical harmonic oscillator of
frequency $\omega$. Width and highness of the trains may change simultaneously
with frequency $2 \omega $ as an array of breathers. Under some perturbations
the wave-packet trains could transit between the states of different quantum
numbers. We demonstrate analytically and numerically that the wave-packet
trains can be strictly fitted to the matter-wave soliton trains observed by
Strecher et al. and reported in Nature 417, 150(2002). When the wave-packets
breathe with greater amplitudes, they show periodic collapse and revival of the
matter-wave.

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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: funct-an