O pyerturbativnom vychislyenii odnochastichnogo spyektra vozbuzhdyeniya v bol{cyrillic small soft sign}shoi{cyrillic, short} boeye-sistyemye

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Abstract

Perturbation theoretic calculation of the one-particle Green's functions is studied for a large system of bosons at zero temperature. We start from a splitting of the Hamiltonian in which the unperturbed part is chosen to be diagonal in the Bogolyubov quasi particle operators. The self-consistent form of the perturbation expansion required by the appearance of inequivalent representations of canonical commutation relations is formulated and discussed.

Original languageEnglish
Pages (from-to)109-120
Number of pages12
JournalActa Physica Academiae Scientiarum Hungaricae
Volume19
Issue number1-4
DOIs
Publication statusPublished - Dec 1965

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perturbation
commutation
elementary excitations
Green's functions
bosons
operators
expansion
temperature

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "O pyerturbativnom vychislyenii odnochastichnogo spyektra vozbuzhdyeniya v bol{cyrillic small soft sign}shoi{cyrillic, short} boeye-sistyemye",
abstract = "Perturbation theoretic calculation of the one-particle Green's functions is studied for a large system of bosons at zero temperature. We start from a splitting of the Hamiltonian in which the unperturbed part is chosen to be diagonal in the Bogolyubov quasi particle operators. The self-consistent form of the perturbation expansion required by the appearance of inequivalent representations of canonical commutation relations is formulated and discussed.",
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