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Results tagged with second-quantization
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user 160881
Second quantization or canonical quantization in quantum field theory and many-body systems is the collective organizing and accounting of an infinity of quantum excitations and their interactions through quantum field operators.
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chemical potential in zero bandwidt s-f model
I have to compute the chemical potential in the zero bandwidth s-f model, analized in this article, from the following condition
$$
n=\left\langle\hat{n}_{\uparrow}\right\rangle+\left\langle\hat{n}_{ …
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Expectation value through spectral theorem in s-f Model
The model that i am studying is the s-f model.
I wrote some post about it, then, in order to understund better my notation go to this question
Now, I am computing some parameters that emerge out of …
- 45
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Commutation rules between itinerant and localized electron operators in s-f Model
The s-f Model is a model who could describe the $\textbf{magnetic 4 $\textit{f}$ systems}$, i.e systems where we could identify localized electrons in $4\,\textit{f}$ orbitals and conductions electro …
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Momentum Space Representation of the Tight Binding Hamiltonian
In (2) we can substitute
$t^{\alpha,\beta}_{\mathbf{R}_{1}-\mathbf{R}_{0},\mathbf{R}_{2}-\mathbf{R}_{0}}$. Then since the left hand side of (2) does not depend on $\mathbf{R}_{0}$, if we sum on it w …
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Momentum Space Representation of the Tight Binding Hamiltonian
I am trying to represent the tight-binding Hamiltonian
\begin{equation}
\hat{H}_{TB} = \sum_{\sigma} \sum_{\alpha,\beta} \sum_{\mathbf{R}_1,\mathbf{R}_2}
t^{\alpha,\beta}_{\mathbf{R}_1,\mathbf{R}_2}
…
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Plasmons : doubts about the derivation of the Heisenberg equation of electrons' density
As regard the first doubt,
From the delta Kronecker we have
$$
\vec{k}_1-\vec{k}_4 = \vec{k}_3-\vec{k}_2
$$
so
\begin{align*}
\vec{q}'&=\vec{k}_1-\vec{k}_4
\\
&=\frac{1}{2}\left(\vec{k}_1 - \vec{k} …
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Plasmons : doubts about the derivation of the Heisenberg equation of electrons' density
I'm studying plasmons from "Haken-Quantum Field Theory of Solids", and i need some help in the calculation of the equation of motion of eletrons' density
\begin{equation}
\hat{\rho}_{\overrightarrow{q …
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