Ejercicio Exercise 2.a - Qualitative Analysis of 1D Potenti… · Física I URV Setembre

Exercise 2. Qualitative Analysis of 1D and Effective Central Potential Curves

Consider the potential energy representations below for a one-dimensional system $U(x)$ and for the radial motion in a central force field under an effective potential $U_{\text{eff}}(r)$ (notated as $U'(r)$):

a.

For the 1D motion curve $U(x)$, identify the physical meaning of the point $x_0$, the coordinates $x_1$ and $x_2$ for a bound state with mechanical energy $E_{\text{mec}} < 0$, and explain the motion for $E_{\text{mec}} \ge 0$.