Physics · Quantum Mechanics
Using the variational trial function ψ(x) = A(a2 - x2) for -a < x < a, and ψ(x) = 0 otherwise, the estimated ground state energy of a one-dimensional harmonic oscillator of frequency ω is minimized to:
- 1ℏω
- 2√514 ℏω
- 30.5ℏω
- 4ℏω2 √10√7✓
Correct answer
ℏω2 √10√7
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