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Consider the harmonic oscillator with a
Gaussian
perturbation
H
p² 1
2μ '2'
+₂μw ²x² +Ve-αx²
Show that the first-order correction term
to the ground state energy is
1/2
μω/h
α + μω/h)
Hint: Ground state wavefunction
vla
V
4 μω
Φο(x) = ρ-μωχ2/2h
πh

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