Improvement of variational approach in an interacting two-fermion system
Liu Yan-Xiaa), Ye Juna), Li Yuan-Yuana), Zhang Yun-Bo†a)
       
The normalized probability density in the relative coordinates of ground state wave function. The inter-particle interactions are in units of : (a) c = 0.05, a 1d = −10; (b) c = 0.25, a 1d = −2; (c) c = 20, a 1d = −0.025; (d) c = −0.5, a 1d = 1; (e) c = −0.1, a 1d = 5; (f) c = −0.05, a 1d = 10. The (red) solid lines show the analytical solution of the probability density. The (black) dash lines show the variational approach result of the probability density.