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Quasiaverages. Theorem on Singularities of Green’s Functions of 1/q 2-Type

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Mathematical Foundations of Quantum Statistical Mechanics

Part of the book series: Mathematical Physics Studies ((MPST,volume 17))

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Abstract

In the previous chapters, we have studied the reduced density matrices (the statistical operators) and Green’s functions both for the general and model systems.

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References

  1. Bogolyubov, N. N. Quasiaverages in the Problems of Statistical Mechanics [in Russian], Preprint JINR, No. R-1451, Dubna, 1963.; see also: Selected Papers [in Russian], Vol. 3, Naukova Dumka, Kiev (1970), pp. 174–243.

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  2. Bouziane, M. and Martin, Ph. A. Bogoliubov inequality for unbounded operators and the Bose gas, J. Math. Phys. (1976), 17, No. 10, 1848–1851.

    Article  MathSciNet  ADS  Google Scholar 

  3. Hugenholtz, N. M. and Pines, D. Ground-state energy and excitation spectrum of a system of interacting bosons, Phys. Rev. (1959), 116, 489–506.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Garrison, J. C. and Wong, J. Bogoliubov inequalities for infinite systems, Comm. Math. Phys. (1972),26, 1–5.

    Article  MathSciNet  ADS  Google Scholar 

  5. Mermin, N. D. Absence of ordering in a certain classical system, J. Math. Phys. (1967), 8, No. 5, 1061–1064.

    Article  ADS  Google Scholar 

  6. Mermin, N. D. Crystalline order in two dimensions, Phys. Rev. (1968), 176, No. 1, 250–254.

    Article  ADS  Google Scholar 

  7. Mermin, N. D. and Wagner, H. Absence of ferromagnetism and antiferromagnetism in one-or two-dimensional isotropic models, Phys. Rev. Lett. (1966), 17, 1133.

    Article  ADS  Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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Petrina, D.Y. (1995). Quasiaverages. Theorem on Singularities of Green’s Functions of 1/q 2-Type. In: Mathematical Foundations of Quantum Statistical Mechanics. Mathematical Physics Studies, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0185-1_7

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  • DOI: https://doi.org/10.1007/978-94-011-0185-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4083-9

  • Online ISBN: 978-94-011-0185-1

  • eBook Packages: Springer Book Archive

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