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Topology of the distribution of zeros of the Husimi function in the LiNC/LiCN molecular system
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32.This is not strictly true since the integrand in Eq. (6) can rotate in both senses leading to cancellations in the index. (Note that, again, this is due to the fact that is not an analytic complex function.) Also some indeterminacies arise when the zeros are located exactly on the border. These two problems have been prevented in our calculations by checking the consistency of our results against changes in the calculation procedure.
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36.Notice that the assumption made here of on the SOS being negative is not strictly exact. Actually, as described in Sec. II B we are taking it as the root corresponding to the negative branch of the second-order equation which results from the energy conservation condition. When these values of are plotted as a function of one obtains an ellipse with a slightly rotated axis. As a result, corresponding to the SOS turns out to be positive in a very small range of values of close to its maximum. Accordingly, for practical effects this distinction is completely unimportant.
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