Find the approximate ground state of the Hamiltonian 1 p² 1 + kx² + =λæª, k>0, 2m 2 Ĥ using Rayleigh-Schrödinger perturbation theory. Determine the ground state correct to order X.
Find the approximate ground state of the Hamiltonian 1 p² 1 + kx² + =λæª, k>0, 2m 2 Ĥ using Rayleigh-Schrödinger perturbation theory. Determine the ground state correct to order X.
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Transcribed Image Text:Find the approximate ground state of the Hamiltonian
Н = 1/²+²/²+²+²x²,
+ = kx² +
2m 2
k > 0,
using Rayleigh-Schrödinger perturbation theory. Determine the ground state correct to order
X.
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