) The special N x N tridiagonal Toeplitz matrix b a c b a c b a has eigenvalues An = b+2Vac cos N +1 n = 1,2, ..., N. In Hückel theory the Hamiltonian for 1,3-butadiene is a B0 0 Ba B 0 ÂĤ = 0βαβ 0 0 B a Obtain the energy eigenvalues of 1,3-butadiene (in terms of a and B).
) The special N x N tridiagonal Toeplitz matrix b a c b a c b a has eigenvalues An = b+2Vac cos N +1 n = 1,2, ..., N. In Hückel theory the Hamiltonian for 1,3-butadiene is a B0 0 Ba B 0 ÂĤ = 0βαβ 0 0 B a Obtain the energy eigenvalues of 1,3-butadiene (in terms of a and B).
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Transcribed Image Text:) The special N × N tridiagonal Toeplitz matrix
b a
с ь
a
6 a
has eigenvalues
dn = b+2Vac cos
N
n = 1,2, ..., N.
In Hückel theory the Hamiltonian for 1,3-butadiene is
Ba B 0
0βαβ
0 0 B a
Obtain the energy eigenvalues of 1,3-butadiene (in terms of a and B).
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