(i) State the boundary conditions that must be satisfied. (1) (ii) Draw rough sketches of three different boxes to illustrate the relationship between the energy separation and the increasing or changing length of the box.

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(a) Consider the translational motion of a particle in a one-dimensional box of mass m, that is free
to move between x = 0 and x = L:
(i) State the boundary conditions that must be satisfied.
(1)
(ii) Draw rough sketches of three different boxes to illustrate the relationship between the
energy separation and the increasing or changing length of the box.
(3)
Transcribed Image Text:(a) Consider the translational motion of a particle in a one-dimensional box of mass m, that is free to move between x = 0 and x = L: (i) State the boundary conditions that must be satisfied. (1) (ii) Draw rough sketches of three different boxes to illustrate the relationship between the energy separation and the increasing or changing length of the box. (3)
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