Physics · Quantum Mechanics
Consider a quantum particle of mass m in a one-dimensional infinite potential well where V(x) = 0 for -a/2 < x < a/2 and V(x) = ∞ for |x| ≥ a/2. A small perturbation V'(x) = 2εx/a is added. The change in the ground state energy to first order in ε, O(ε), is:
- 1ε2π2(π2 - 4)
- 2ε2π2(π2 + 4)
- 3επ22(π2 + 4)
- 40✓
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