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Quantum States of Interacting Atoms in Quasi One Dimensional Ultracold Trapped Gases

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Figure

Figure 1. The transverse wave function at z = Lz/2. The wave function presents an inverse peak at the scattering center
Figure 3. The eigenenergies of the even parity ground state (solid line) and of the odd parity first excited state (dashed line) as a function of the scattering strength g for Nz = 19.6Nx
Figure 4. The eigenenergies of the even parity ground state (solid line) and of the odd state—the odd parity state, uncoupled from the scattering potential, becomes the ground state become degenerate
Figure 5. Linear fit of the numerical computed wave function to the exponential decay in (9), with Pearson correlation coefficient given by r2 = 0.99788, presenting a good agree-ment of the numerical results to the functional form (9)
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