Physics · Quantum Mechanics
Two identical bosons are placed in an infinite square well of width a centered at x = a2. They interact weakly with one another via the potential V(x1, x2) = -a V0 δ(x1 - x2), where V0 is a constant with the dimensions of energy. Using first-order non-degenerate perturbation theory, the ground state energy is:
- 1π2ℏ22ma2 - 32V0
- 2π2ℏ2ma2 - 32V0✓
- 3π2ℏ22ma2 - 34V0
- 4π2ℏ2ma2 - 34V0
Correct answer
π2ℏ2ma2 - 32V0
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