Eigenvectors of a 1d Ising Hamiltonian

(based on "Exact eigenvalues of the Ising Hamiltonian in one -, two - and three - dimensions in the absence of a magnetic field")

Consider the following Ising chain

"ising-eigenvectors_1.gif"

"ising-eigenvectors_2.gif"

Adjancency/Hamiltonian matrix is below

"ising-eigenvectors_3.gif"

"ising-eigenvectors_4.gif"

"ising-eigenvectors_5.gif"

"ising-eigenvectors_6.gif"

"ising-eigenvectors_7.gif"

"ising-eigenvectors_8.gif"

"ising-eigenvectors_9.gif"

Eigenstates of the matrix

In[97]:=

"ising-eigenvectors_10.gif"

Out[97]=

"ising-eigenvectors_11.gif"


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