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

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Number Theory

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

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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.

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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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  3. H. Weyl, “The theory of groups and quantum mechanics”, Dover, New York, 1950.

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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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  6. R. Casalbuoni, V. Rittenberg and S. Yankielowicz, “Self-Duality conditions for spin systems defined on a new class of non-Abelian solvable finite groups”, Nucl. Phys. Vol.B170 (1980) 139.

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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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Krishnaswami Alladi

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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

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