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Part of the book series: NATO ASI Series ((ASIC,volume 183))

Abstract

Generalized Clifford algebras are shown to be a very efficient and natural tool for formulating and solving problems in statistical mechanics of lattice systems with Zn symmetry.

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References

  1. Morinaga K. et al. J. Sci. Eirishima univ. (A)16 (1952) 13–41

    MathSciNet  Google Scholar 

  2. Yamazaki K. J. Fac. Sc. Univ. Tokyo, Sect. I, vol 10)(1964), 147

    MATH  Google Scholar 

  3. Popovici J. et all. C. R. Acad. Sc. Paris 262, 1966, 682–685

    MathSciNet  Google Scholar 

  4. Morris A.O. Quart. J. Math. Oxford (2)18 (1967), 7–12

    Article  Google Scholar 

  5. Ramakrishnan A. et all. J. Math. Phys. Sci. Madras 3(1969) 307 Ramakrishnan A. Proceedings on the Conference on Clifford Algebra, Its Generalizations and Applications Matscience, Madras 1971

    MathSciNet  MATH  Google Scholar 

  6. Santhanam T.S. Foundations of Physics 7, (1977), 121

    Article  MathSciNet  Google Scholar 

  7. Yoneya T. Nuclear Physics B144 (1978) 195–218

    MathSciNet  Google Scholar 

  8. Mittag L. Stephen M.J. J. Mat. Phys. 12, 441 (1971)

    Article  Google Scholar 

  9. Alcaraz F.C. Koberle R. J. Phys. A: Gen. 13 (1980) L153–L160 ibid. 14 (1981) 1169-1192

    Article  MathSciNet  Google Scholar 

  10. Bashilov Y.A. Pokrovsky S.V. Commun. Mat. Phys. 76 (1980) 129–141

    Article  MathSciNet  Google Scholar 

  11. Gehlen G.V. Rittenberg V. UGVA — DPT 1984, 10-447

    Google Scholar 

  12. Kwasniewski A.K. J. Math. Phys. 26 (1985) 2234

    Article  MathSciNet  MATH  Google Scholar 

  13. Domb C. J. Phys., 1974, A7 p. 1335

    Google Scholar 

  14. Thompson C.J. Mathematical Statistical Mechanics, MacMillan, New York, 1971

    Google Scholar 

  15. Kwasniewski A.K. Communications of JINR E17-85-86 Dubna 1985

    Google Scholar 

  16. Kwasniewski A.K. J. Phys. A (in press)

    Google Scholar 

  17. Popovici I. et all. Rev. Roum. Math. Pures et Appl. 1966, XI p. 989

    MathSciNet  Google Scholar 

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© 1986 D. Reidel Publishing Company

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Kwaśniewski, A.K. (1986). Generalized Clifford Algebras and Spin Lattice Systems. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_47

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  • DOI: https://doi.org/10.1007/978-94-009-4728-3_47

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8602-8

  • Online ISBN: 978-94-009-4728-3

  • eBook Packages: Springer Book Archive

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