By Giovanni Giachetta;Luigi Mangiarotti;G. Sardanashvily
Within the final decade, the advance of latest rules in quantum thought, together with geometric and deformation quantization, the non-Abelian Berry's geometric issue, tremendous- and BRST symmetries, non-commutativity, has known as into play the geometric concepts in response to the deep interaction among algebra, differential geometry and topology. The ebook goals at being a advisor to complicated differential geometric and topological tools in quantum mechanics. Their major peculiarity lies within the undeniable fact that geometry in quantum thought speaks generally the algebraic language of jewelry, modules, sheaves and different types. Geometry is certainly not the first scope of the publication, however it underlies many rules in sleek quantum physics and offers the main complicated schemes of quantization.
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Additional info for Geometric And Algebraic Topological Methods In Quantum Mechanics
2001), Resultant over the residual of a complete intersection, Jour. of Pure and Applied Algebra, Vol. 164, pp. 35-57. 6. Bus´e, L. P. (2003), On the closed image of a rational map and the implicitization problem, Journal of Algebra, Vol. 265, pp. 312-357 7. Chen, F. and Wang, W. (2004), Computing the singular points of a planar rational curve using the µ-basis, preprint. 8. Chtcherba, A. and Kapur, D. (2000), Conditions for exact resultants using the Dixon formulation, International Symposium on Symbolic and Algebraic Computation (ISSAC 2000), St.
Thomassen2,3 , Elmar M. Wurm1 , uttler1 Tor Dokken2 and Bert J¨ 1 2 3 Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. O. O. no Summary. We compare several methods for approximate implicitization by piecewise polynomials which have been developed by the authors, and a linear-algebrabased numerical method for implicitization which is provided as a part of MAPLE. We investigate both quantitative criteria (such as computing time, memory use, and the error of the approximation) and qualitative criteria.
Bus´e, L. (2001), Residual resultant over the projective plane and the implicitization problem, Proceedings of ISSAC 2001, pp. 48-55. 3. Bus´e, L. and Chardin, M. (2004), Implicitizing rational hypersurfaces using approximation complexes, submitted to Journal of Symbolic Computation. 4. , and D’Andrea, C. (2003), Implicitization of surfaces in P3 in the presence of base points, Journal of Algebra and its Applications, Vol. 2, pp. 189-214. 5. , and Mourrain, B. (2001), Resultant over the residual of a complete intersection, Jour.
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