Geodesic
System of exact equations for the mass operator of quasiparticles interacting with phonons
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 400-407 
N. V. Tkach. System of exact equations for the mass operator of quasiparticles interacting with phonons. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 400-407. http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A diagram technique is used to construct a system of exact equations for the total mass operator of quasiparticles interacting with phonons. Its solution is an infinite integral continued fraction with exactly determined n-th term. For the example of an exactly solvable problem, the spectrum of the ground state and all bound states of a quasiparticle with phonons is found. The part played by many-phonon processes in its formation is investigated for different magnitudes of the coupling constant.

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