... | ... | @@ -91,7 +91,7 @@ Minimization of the functional with respect to quasiparticle orbitals provides B |
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```math
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\begin{pmatrix}h_{\uparrow}(r) & \Delta(r)+ \Delta_{\textrm{ext}}(r) \\\Delta^*(r)+ \Delta^*_{\textrm{ext}}(r) & -h^*_{\downarrow}(r)\end{pmatrix} \begin{pmatrix}u_{n\uparrow}(r) \\ v_{n\downarrow}(r)\end{pmatrix}= E_n\begin{pmatrix}u_{n\uparrow}(r) \\ v_{n\downarrow}(r)\end{pmatrix}
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```
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where single particle is given by
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where single particle hamiltonian is given by
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```math
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h_{\sigma} = -\dfrac{1}{2}\vec{\nabla}\alpha_{\sigma}(r)\vec{\nabla} + V_{\sigma}(r)-\left(\mu_{\sigma}-V_{\sigma}^{\textrm{(ext)}}(r)\right)-\dfrac{i}{2}\left\lbrace \vec{A}_{\sigma}(r)-\vec{v}_{\sigma}^{\textrm{(ext)}}(r),\vec{\nabla} \right\rbrace
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```
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