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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}_...\[H=-3 J s^{2} N+3 J s \sum_{\mathbf{k}}\left[\hat{a}_{\mathbf{k}}^{\dagger} \hat{a}_{\mathbf{k}}+\hat{b}_{-\mathbf{k}}^{\dagger} \hat{b}_{-\mathbf{k}}+f(\mathbf{k})\left(\hat{a}_{\mathbf{k}} \hat{b}_{-\mathbf{k}}+\hat{a}_{\mathbf{k}}^{\dagger} \hat{b}_{-\mathbf{k}}^{\dagger}\right)\right],\tag{9.30}\]
    • https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/22%3A_Induction_AC_Circuits_and_Electrical_Technologies/22.1%3A_Magnetic_Flux_Induction_and_Faradays_Law
      Faraday’s law of induction states that an electromotive force is induced by a change in the magnetic flux.

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