The Hamiltonian matrix has been constructed using an orthonormal basis: (1 1 0 2 2 1 2 0, 1 0 1 0 1 ÂĤ = ÊĤº + Û = (2 1 0 2 1 4 + And the exact eigenvalues of Ĥ are: d1 = 1, X2 = 7, A3 = 1 ; use time-independent perturbation theory to determine the eigenvalues with corrections up to second order.
The Hamiltonian matrix has been constructed using an orthonormal basis: (1 1 0 2 2 1 2 0, 1 0 1 0 1 ÂĤ = ÊĤº + Û = (2 1 0 2 1 4 + And the exact eigenvalues of Ĥ are: d1 = 1, X2 = 7, A3 = 1 ; use time-independent perturbation theory to determine the eigenvalues with corrections up to second order.
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B4
Transcribed Image Text:The Hamiltonian matrix has been constructed
using an orthonormal basis:
(1 0 1
ÂĤ = Ĥº + Û = (2 1 0
1 1 0
0 2 2
1 2
+
2 1 4
And the exact eigenvalues of
Ĥ
are:
d1 = 1, A2 = 7, dz = 1
; use time-independent perturbation theory
to determine the eigenvalues with
corrections up to second order.
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