Geodesic
Evolution of the~$N$-particle state in the~BCS model
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 110-120

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We obtain an exact scheme describing the dynamics of the $N$-particle state in the BCS model that is similar to the Gel'fand–Yaglom procedure for finding the transition amplitude of the harmonic oscillator with a time-dependent frequency. We find the many-particle spectrum and the eigenfunctions of the BCS Hamiltonian in the limit as the system volume tends to infinity.
Keywords: BCS model, fixed number of particles, many-particle spectrum.
Mots-clés : Gel'fand–Yaglom formula 
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     author = {V. V. Losyakov},
     title = {Evolution of the~$N$-particle state in {the~BCS} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {110--120},
     publisher = {mathdoc},
     volume = {166},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a7/}
}
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V. V. Losyakov. Evolution of the~$N$-particle state in the~BCS model. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 110-120. http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a7/