5. Consider the following Hamiltonian 100 H(0) 0 2 1 0 1 2 and a perturbation of the form € 0 0 € 2e 0 2e E H(1) 0. %3D (a) Find the eigenvalues and eigenvectors of the Hamiltonian H(0). (b) Find the changes to the energy to first order in perturbation theory.-
5. Consider the following Hamiltonian 100 H(0) 0 2 1 0 1 2 and a perturbation of the form € 0 0 € 2e 0 2e E H(1) 0. %3D (a) Find the eigenvalues and eigenvectors of the Hamiltonian H(0). (b) Find the changes to the energy to first order in perturbation theory.-
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Transcribed Image Text:5. Consider the following Hamiltonian
100
0 2 1
01 2
H(0)
%3D
and a perturbation of the form
€ 0 0
H(1)
0.
€ 2e
%3D
0 2e €
(a) Find the eigenvalues and eigenvectors of the Hamiltonian H0).
(b) Find the changes to the energy to first order in perturbation theory.
(c) Find the second order changes to the energy.
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