Substitute the two-magnon ansatz into the Schrdinger equation for the Heisenberg spin (1 / 2) spin chain,

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Substitute the two-magnon ansatz into the Schrödinger equation for the Heisenberg spin \(1 / 2\) spin chain, and find that the energy of the two-magnon state is just the sum of the energies of the single magnons, and that

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