In this section we will discuss construction of a wave functions which are used to solve one-dimensional problems. Apart from the case of the Tonks-Girardeau and gas of hard rods, where the wave function is known exactly (Secs. 2.5.4.1,2.5.4.2), the wave function are constructed in a Bijl-Jastrow form based on two-body solutions found in the Secs. 1.3.3 (the same method is used also in the construction of three-dimensional wave functions Secs. 2.5.5).
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