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

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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. 
@article{TMF_1984_61_3_a7,
     author = {N. V. Tkach},
     title = {System of exact equations for the mass operator of quasiparticles interacting with phonons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {400--407},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a7/}
}
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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/