Geodesic
On the Dispersion Law of the Form $\varepsilon(p)=\hbar^2p^2/2m+\widetilde V(p)-\widetilde V(0)$ for Elementary Excitations of a Nonideal Fermi Gas in the Pair Interaction Approximation $(i\leftrightarrow j)$, $V(|x_i-x_j|)$
Matematičeskie zametki, Tome 82 (2007) no. 5, pp. 690-708

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We give a derivation of the dispersion law $\varepsilon(p)=\hbar^2p^2/2m+\widetilde V(p)-\widetilde V(0)$, where $\widetilde V(p)$ is the Fourier transform of the pair interaction potential $V(r)$. (The interaction between particles $x_i$ and $x_j$ is $V(|x_i-x_j|)$.)
Keywords: dispersion law, elementary excitation, pair interaction
Mots-clés : Fermi gas. 
@article{MZM_2007_82_5_a4,
     author = {V. P. Maslov},
     title = {On the {Dispersion} {Law} of the {Form} $\varepsilon(p)=\hbar^2p^2/2m+\widetilde V(p)-\widetilde V(0)$ for {Elementary} {Excitations} of a {Nonideal} {Fermi} {Gas} in the {Pair} {Interaction} {Approximation} $(i\leftrightarrow j)$, $V(|x_i-x_j|)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {690--708},
     publisher = {mathdoc},
     volume = {82},
     number = {5},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_5_a4/}
}
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V. P. Maslov. On the Dispersion Law of the Form $\varepsilon(p)=\hbar^2p^2/2m+\widetilde V(p)-\widetilde V(0)$ for Elementary Excitations of a Nonideal Fermi Gas in the Pair Interaction Approximation $(i\leftrightarrow j)$, $V(|x_i-x_j|)$. Matematičeskie zametki, Tome 82 (2007) no. 5, pp. 690-708. http://geodesic.mathdoc.fr/item/MZM_2007_82_5_a4/