What happens to the energy levels of a quantum particle confined to a two-dimensional square box when the box is dilated uniformly, maintaining its square shape?

💡 Explanation

The energy levels decrease quadratically because of the dilation; the energy E is inversely proportional to the square of the box's length (E ∝ 1/L²). Therefore, as the box expands uniformly, the energy levels must decrease quadratically, rather than linearly or staying the same.

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