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Question: 4 a a quark mass mp3 is confined in a...

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4. (a) A quark (mass mp3) is confined in a cubical box from which it cannot escape. The sides parallel to the x-, y- and z-axes are each of length L. Write down the Schrödinger equation, and solve it to find the eigenfunction corresponding to the state of lowest possible energy. Show clearly your reasoning at each step in solving the equation. 7 marks) 15 (b) If the cubical box has sides of length 1x10m, find the excitation energy from the 3 marks) ground state to the first excited state in eV.

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