By Robert L. Anderson, Nail H. Ibragimov (auth.), J. Bertrand, M. Flato, J.-P. Gazeau, M. Irac-Astaud, D. Sternheimer (eds.)

ISBN-10: 9048145988

ISBN-13: 9789048145980

ISBN-10: 9401585431

ISBN-13: 9789401585439

This e-book includes the lawsuits of a gathering that introduced jointly buddies and co-workers of man Rideau on the Université Denis Diderot (Paris, France) in January 1995.

It includes unique effects in addition to overview papers protecting vital domain names of mathematical physics, similar to smooth statistical mechanics, box idea, and quantum teams. The emphasis is on geometrical techniques. a number of papers are dedicated to the examine of symmetry teams, together with functions to nonlinear differential equations, and deformation of buildings, specifically deformation-quantization and quantum teams. The richness of the sector of mathematical physics is proven with themes starting from natural arithmetic to up to date functions similar to imaging and neuronal versions. *Audience:* Researchers in mathematical physics.

**Read Online or Download Modern Group Theoretical Methods in Physics: Proceedings of the Conference in Honour of Guy Rideau PDF**

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**Additional info for Modern Group Theoretical Methods in Physics: Proceedings of the Conference in Honour of Guy Rideau**

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Phys. 111, 613 Sudbery, A. (1990) J. Phys. A: Math. Gen. E. V. (1990) Prog. Theo. Phys. Suppl. 102, 203 Reshetikhin, N. (1990) Lett. Math. Phys. B. K. (1991) Phys. Lett. , Wess, J. and Zumino, B. (1991) Z. Phys. T. (1991) J. Math. Phys. 32, 2979 Chakrabarti, R. and Jagannathan, R. (1991) J. Phys. A: Math. Gen. K. (1992) J. Math. Phys. R. , W. Florek, D. Liphlski and T. Lulek (World Scientific, Singapore) pp. 445 Chakrabarti, R. and Jagannathan, R. (1994) J. Phys. A: Math. Gen. M. F. (1994) preprint LYCEN 9439 Jagannathan, R.

The invariant u up to order 0(E 2 ) U = V - EYVI + E2 (-YVI + '12 Y 2 V2 + VvJ) + O(E 2 ). Here we shail extend these results. Theorem 8 can be improved upon in the sense that transformed variables can be obtained directly in terms of combinations of the old variables, thus avoiding the transcendental nature of the result in Theorem 8 when solving for the new variables in terms of the old variables. Specifically, we have the following new result. 14 ROBERT L. ANDERSON AND NAIL H. IBRAGIMOV Theorem 10.

5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Y. ), Wavelets and their Applications (Prac. Marseille 1989), Masson, Paris and Springer-Verlag, Berlin 1991 Y. Meyer and S. ), Progress in Wavelet Analysis and Applications (Prac. Toulause 1992), Ed. Frontieres, Gif-sur-Yvette 1993 R. Gilmore, "Geometry of symmetrized states", Ann. Phys. (NY) 74 (1972) 391463; "On properties of coherent states", Rev. Mex. Fis. 23 (1974) 143-187 A. Perelomov, "Coherent states for arbitrary Lie group", Commun. Math. Phys. 26 (1972) 222-236; Generalized Coherent States and their Applications, SpringerVerlag, Berlin 1986 M.

### Modern Group Theoretical Methods in Physics: Proceedings of the Conference in Honour of Guy Rideau by Robert L. Anderson, Nail H. Ibragimov (auth.), J. Bertrand, M. Flato, J.-P. Gazeau, M. Irac-Astaud, D. Sternheimer (eds.)

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