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On a number of theoretical problems involved in the study of the physics of spin-systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 938)

Abstract

As an example of the important role of number theory in certain physical problems, the number theoretical aspects of the socalled self-duality conditions for spin-systems defined on a group manifold are analysed in the special case when the underlying group is a generalised Clifford group.

Keywords

  • Irreducible Representation
  • Prime Number
  • Spin System
  • Clifford Algebra
  • Group Manifold

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Alladi Ramakrishnan, “L-Matrix Theory or the Grammar of Dirac Matrices”, Tata-McGraw Hill, New Delhi/Bombay, 1972

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  2. Alladi Ramakrishnan (Editor), Proceedings of the Conference on Clifford Algebra, its generalizations and applications Matscience 1971.

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  5. R. Jagannathan and N.R. Ranganathan, “On Generalized Clifford Groups-I”, Reports on Mathematical Physics, Vol.5 (1974) 131 R. Jagannathan and N.R. Ranganathan, “On Generalized Clifford Groups-II”, Reports on Mathematical Physics, Vol. 7 (1975) 229

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  7. R. Jagannathan, “On certain Numerical and Combinatorial aspects of Clifford Algebra, its generalizations and associated structures”, Matscience Report 79 (Ed. G.N. Keshava Murthy, Institute of Mathematical Sciences, Madras, India) (1973) 60. R. Jagannathan,” A Matrix Approach to certain Number Theoretic Problems”, Matscience Report 87 (Ed. N.R. Ranganathan, Institute of Mathematical Sciences, Madras, India)(1977)6.

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© 1982 Springer-Verlag

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Jagannathan, R., Santhanam, T.S. (1982). On a number of theoretical problems involved in the study of the physics of spin-systems. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 938. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097175

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  • DOI: https://doi.org/10.1007/BFb0097175

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11568-7

  • Online ISBN: 978-3-540-39279-8

  • eBook Packages: Springer Book Archive