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    • https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Advanced_Quantum_Mechanics_(Kok)/09%3A_New_Page/9.2_Spin_Waves_in_Solids
      \[H=-3 J s^{2} N+3 J s \sum_{\mathbf{k}}\left[\hat{a}_{\mathbf{k}}^{\dagger} \hat{a}_{\mathbf{k}}+\hat{b}_{-\mathbf{k}}^{\dagger} \hat{b}_{-\mathbf{k}}+f(\mathbf{k})\left(\hat{a}_{\mathbf{k}} \hat{b}_...H=3Js2N+3Jsk[ˆakˆak+ˆbkˆbk+f(k)(ˆakˆbk+ˆakˆbk)],

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