Reconstructing the thermal Green functions at real times from those at imaginary times (Articolo in rivista)

Type
Label
  • Reconstructing the thermal Green functions at real times from those at imaginary times (Articolo in rivista) (literal)
Anno
  • 2001-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s002200000324 (literal)
Alternative label
  • Cuniberti Giovanni; De Micheli Enrico; Viano Giovanni Alberto (2001)
    Reconstructing the thermal Green functions at real times from those at imaginary times
    in Communications in Mathematical Physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Cuniberti Giovanni; De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 59 (literal)
Pagina fine
  • 83 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.springerlink.com/content/pma8vlr6l3kbrrwh/ (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 216 (literal)
Rivista
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  • 25 (literal)
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  • 1 (literal)
Note
  • athematical Reviews on the web (MathSciNet) (literal)
  • Google Scholar (literal)
  • ISI Web of Science (WOS) (literal)
  • Scopus (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • Reconstructing the thermal Green functions at real times from those at imaginary times (literal)
Abstract
  • By exploiting the analyticity and boundary value properties of the thermal Green functions that result from the KMS condition in both time and energy complex variables, we treat the general (non-perturbative) problem of recovering the thermal functions at real times from the corresponding functions at imaginary times, introduced as primary objects in the Matsubara formalism. The key property on which we rely is the fact that the Fourier transforms of the retarded and advanced functions in the energy variable have to be the \"unique Carlsonian analytic interpolations\" of the Fourier coefficients of the imaginary-time correlator, the latter being taken at the discrete Matsubara imaginary energies, respectively in the upper and lower half-planes. Starting from the Fourier coefficients regarded as \"data set\", we then develop a method based on the Pollaczek polynomials for constructing explicitly their analytic interpolations. (literal)
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