A Baker–Campbell–Hausdorff formula for the logarithm of permutations
2020 ◽
Vol 17
(04)
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pp. 2050052
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Keyword(s):
A Chain
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The dynamics-from-permutations of classical Ising spins are studied for a chain of four spins. We obtain the Hamiltonian operator which is equivalent to the unitary permutation matrix that encodes assumed pairwise exchange interactions. It is shown how this can be summarized by an exact terminating Baker–Campbell–Hausdorff formula, which relates the Hamiltonian to a product of exponentiated two-spin exchange permutations. We briefly comment upon physical motivation and implications of this study.
Keyword(s):
1966 ◽
Vol 45
(1)
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pp. 179-182
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1997 ◽
Vol 103
(3)
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pp. 485-489
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Keyword(s):
2011 ◽
Vol 32
(2)
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pp. 467-471
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2009 ◽
Vol 23
(08)
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pp. 1981-2019
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Keyword(s):