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Remarks on the retarded, advanced and thermodynamic Green's functions

Замечания о запаздывающих, опережающих и термодинамических функциях Грина

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Il Nuovo Cimento A (1965-1970)

Summary

The connection between time correlation and retarded, advanced and thermodynamic Green's functions is discussed in a systematic way. The occurrence of a time-independent contribution to the time correlation function is connected to the Green's function defined by η=1, and a simple rule is given for its calculation when a suitable decoupling is available.

Riassunto

Si discute in modo sistematico la connessione fra correlazione temporale e funzioni di Green termodinamiche, avanzate e ritardate. Il verificarsi di un contributo indipendente dal tempo per la funzione di correlazione temporale è collegato alla funzione di Green definita da η=1. Si dà una semplice regola per ottenerla quando si ha un opportuno disaccoppiamento.

Резюме

Систематическим образом рассматривается связь между временной корреляцией и запаздывающими, опережающими и термодинамическими функциями Грина. Появление вклада, не зависящего от времени, в функции временной корреляции связывается с функцией Грина, определенной посредством η=1. Приводится простое правило для вычисления этого вклада, когда имеет место соответствующее нарумение связи.

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References

  1. D. N. Zubarev:Sov. Phys. Uspekhi,3, 320 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  2. A. I. Alekseev:Sov. Phys. Uspekhi,4, 23 (1961).

    Article  ADS  Google Scholar 

  3. R. A. Cowley:Advan. Phys.,12, 421 (1963).

    Article  ADS  Google Scholar 

  4. K. W. H. Stevens andG. A. Toombs:Proc. Phys. Soc.,85, 1307 (1965).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. J. F. Fernandes andA. A. Gersch:Proc. Phys. Soc.,91, 505 (1967).

    Article  ADS  Google Scholar 

  6. P. C. Kwok andT. D. Schultz:Journ. Phys. C,2, 1196 (1969).

    Article  ADS  Google Scholar 

  7. R. Kubo:Journ. Phys. Soc. Japan,12, 570 (1957).

    Article  MathSciNet  ADS  Google Scholar 

  8. S. H. Liu:Phys. Rev.,139, A 1522 (1965).

    Article  MATH  ADS  Google Scholar 

  9. E. R. Pike:Proc. Phys. Soc.,84, 83 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  10. H. Callen, R. H. Swendsen andR. Tahir-Kheli:Phys. Lett.,25 A, 505 (1967).

    Article  ADS  Google Scholar 

  11. R. L. Bell:Phys. Rev.,143, 215 (1966);S. Katsura andT. Horiguchi:Phys. Lett.,28 A, 342 (1968).

    Article  ADS  Google Scholar 

  12. G. L. Lucas andG. Horwitz:Journ. Phys. A,2, 503 (1969).

    Article  ADS  Google Scholar 

  13. L. P. Kadanoff andG. Baym:Quantum Statistical Mechanics (New York, 1962).

  14. G. Baym andT. D. Mermin:Journ. Math. Phys.,2, 232 (1961).

    Article  MathSciNet  ADS  Google Scholar 

  15. J. D. Patterson andW. H. Southwell:Am. Journ. Phys.,36, 343 (1968).

    Article  ADS  Google Scholar 

  16. G. L. Lucas:Am. Journ. Phys.,36, 942 (1968).

    Article  ADS  Google Scholar 

  17. S. Katsura, T. Horiguchi andM. Suzuki:Physica,46, 67 (1970).

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. J. G. Ramos

    Present address: Departamento de Física dos Materiais e Mecânica do Instituto de Física da Universidade de São Paulo, São Paulo, La Spagna

Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro

    J. G. Ramos & A. A. Gomes

Authors
  1. J. G. Ramos
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  2. A. A. Gomes
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Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

This work is a part of a thesis which was submitted byJ. G. Ramos to the Instituto de Física da Universidade de São Paulo, in partial fulfilment of the requirements for the Doutoramento em Ciências-Físicas (1970).

Traduzione a cura della Redazione.

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Ramos, J.G., Gomes, A.A. Remarks on the retarded, advanced and thermodynamic Green's functions. Nuov Cim A 3, 441–455 (1971). https://doi.org/10.1007/BF02813703

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  • DOI: https://doi.org/10.1007/BF02813703

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