Sturm expansions in many-fermion problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 272-287
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A generalization of the method of Sturm expansions is the basts of a systematic
approach proposed for the construction of a complete system of intermediate states in the perturbation problem for stationary states of many-fermion systems. A time-independent expansion of the Green's function is constructed with respect to a complete set of antisymmetric functions, which include quasiparticle excitations of Sturm type. It is shown that in the case of single-particle perturbations one can completely avoid integration over continuum states, and in the case of perturbations that contain two-body interactions the multiplicity of the integrals can be significantly reduced. A diagram technique is developed for calculating the terms of the perturbation theory expansion.
@article{TMF_1983_56_2_a10,
author = {A. I. Sherstyuk},
title = {Sturm expansions in many-fermion problems},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {272--287},
publisher = {mathdoc},
volume = {56},
number = {2},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a10/}
}
A. I. Sherstyuk. Sturm expansions in many-fermion problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 272-287. http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a10/