Physics · Quantum Mechanics
Consider the normalized wave function ψ for a one-dimensional simple harmonic oscillator given by ψ = c0ψ0 + c1ψ1, where ψ0 and ψ1 are the normalized ground state and first excited state respectively, and c0, c1 are real numbers. For what values of c0 and c1 is the magnitude of the expectation value of position, i.e., |⟨x⟩|, maximized?
- 1c0 = 0, c1 = 1
- 2c0 = √32, c1 = 12
- 3c0 = 1√2, c1 = 1√2✓
- 4c0 = 1, c1 = 0
Correct answer
c0 = 1√2, c1 = 1√2
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