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Science · Advanced Physics
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Two particles without spin and both with the mass m is moving in a potential on the x-axis given by the infinite square-well potential: ={0 for 0 〈 x 〈 a otherwise V (x) Here a is the width of the well. Assume that the two particles are indistinguishable bosons. 1) Find the energies, the degeneracies and the wavefunctions for the ground state and the first three excited states. An interaction between the two bosons can be described by the perturbation operator where g is a constant, δ the Dirac-delta-function and x1 and x2 the coordinates of the two particles in the well 2) Calculate the first-order energy correction in the constant g of the ground state.

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