1. The problem statement, all variables and given/known data For a particle moving in a potential V(x), what are plausible forms of V(x) that give: (i) entirely continuous, (ii)entirely quantised (iii) both continuous and quantised energies of the particle? Sketch, with justification, the forms of V(x) for each of these 3 cases. 2. Relevant equations 3. The attempt at a solution (i) when the particle is free (V(x) is zero), the particles energies are continuous. (ii) When the particle is in an infinite potential well, the energies are quantised. (iii) I have no idea about this one. Can anyone help?