Physics · Quantum Mechanics
A particle is initially (at t = 0) in the ground state of an infinite one-dimensional potential box with walls at x = 0 and x = a. It is subjected for 0 ≤ t ≤ ∞ to a perturbation V(t) = x2e−t/τ. The probability of finding the particle in the first excited state for t → ∞ is proportional to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(16 a29 π2 ℏ)2 [9 π4 ℏ24 m2 a4 + 1τ2]−1✓
- 2(4 a23 π2 ℏ)2 [3 π4 ℏ22 m2 a4 + 1τ2]−1
- 3(16 a29 π2 ℏ)2 [9 π4 ℏ24 m2 a4 + 1τ2]
- 4(4 a23 π2 ℏ)2 [3 π4 ℏ22 m2 a4 + 1τ2]
Correct answer
(16 a29 π2 ℏ)2 [9 π4 ℏ24 m2 a4 + 1τ2]−1
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