Use the variational principle to calculate an es rgy of the quartic oscillator. The potential of the quartic oscillator ction of the form o(x) = e -. 2

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Use the variational principle to calculate an estimate to the ground state energy of the quartic oscillator. The potential of the quartic oscillator is \( V(x) = c x^4 \). Use a trial function of the form \( \phi(x) = e^{-\frac{\alpha x^2}{2}} \).
Transcribed Image Text:Use the variational principle to calculate an estimate to the ground state energy of the quartic oscillator. The potential of the quartic oscillator is \( V(x) = c x^4 \). Use a trial function of the form \( \phi(x) = e^{-\frac{\alpha x^2}{2}} \).
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