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The results discussed in this paper are valid only in the mean-field resume. For a low-density regime in a highly elongated 1D trap, quantum fluctuations can be important, leading to the Tonks-Giradeau resume discussed in Ref. 26
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The results discussed in this paper are valid only in the mean-field resume. For a low-density regime in a highly elongated 1D trap, quantum fluctuations can be important, leading to the Tonks-Giradeau resume discussed in Ref. 26.
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There is no logarithmic correction in the kinetic energy if we use the Gaussian trial wave function
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There is no logarithmic correction in the kinetic energy if we use the Gaussian trial wave function.
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