Geodesic
The adiabatic $S$-matrix and quasiparticles
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 3-29

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A study is made of the adiabatic $S$-matrix $S_\alpha$ for a normal Fermi system. Expressions are obtained for its matrix elements for small values of $\alpha$. The connection is established between the operator $S_\alpha$ and the physical scattering matrix for quasiparticles. A unitary operator is found which transforms the Hamiltonian considered into the Hamiltonian of an ideal gas to within terms which are unimportant in a consideration of lowlying excited states. 
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     author = {V. N. Likhachev and Yu. S. Tyupkin and A. S. Schwarz},
     title = {The adiabatic $S$-matrix and quasiparticles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a0/}
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V. N. Likhachev; Yu. S. Tyupkin; A. S. Schwarz. The adiabatic $S$-matrix and quasiparticles. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 3-29. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a0/