# Questions tagged [derivations]

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### First order variation of the wave function of conduction states

The first order variation of the wave function $\Delta \psi_n$ is obtained by standard perturbation theory (Eq. 25 of ref 1): \begin{equation} (H_{SCF}-\epsilon_n)|\Delta \psi_n \rangle = -(\Delta V_{...
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The orbital magnetization in periodic solids has been nicely described by the so-called modern theory of magnetization [1,2,3,4]. $$\tag{1} \mathcal{M}_{orb} = -\frac{1}{2} \Im \sum_{n,\mathbf{k}} f_{... 1answer 141 views ### How is the Bloch equation derived? I am reading a textbook on many-electron theory, which gives a Bloch equation in its generalized form:$$\tag{1} [\Omega,H_0]P=Q(V\Omega-\Omega V_{eff})P, $$where P denotes the projection from ... 0answers 70 views ### Deriving relations for a hard sphere phase diagram In Torquato's book "Random Heterogeneous Materials", he has written:$$\frac{p}{\rho kT} = 1+2^{d-1}\eta g_2 (D^{+})\tag{1} where $g_2(D^+)$ is the contact value from the right-side of the ...
TMDs are transition metal dichalcogenides and have the chemical formula MX$_2$ where M is the transition metal and X is the chalcogen. An example of a TMD is MoSe$_2$. I would like to demonstrate that ...