6. Consider a potential function that is similar to a harmonic oscillator but quartic rather than quadratic in the coordinate: V(x) = KX4 where k is a constant having units of J m-4. For a particle of reduced mass u moving in this potential, solve for the ground-state energy using the variation method, using as a trial wavefunction Y(x) = exp(-px²) where p is the variational parameter.
6. Consider a potential function that is similar to a harmonic oscillator but quartic rather than quadratic in the coordinate: V(x) = KX4 where k is a constant having units of J m-4. For a particle of reduced mass u moving in this potential, solve for the ground-state energy using the variation method, using as a trial wavefunction Y(x) = exp(-px²) where p is the variational parameter.
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Transcribed Image Text:6. Consider a potential function that is similar to a harmonic oscillator but quartic rather than
quadratic in the coordinate: V(x) = KX4 where k is a constant having units of J m-4. For a particle
of reduced mass u moving in this potential, solve for the ground-state energy using the variation
method, using as a trial wavefunction Y(x) = exp(-px²) where p is the variational parameter.
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