Conclusion

Pedro de M. Rios and Eldar Straume
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Pedro de M. Rios: Universidade de São Paulo, Departamento de Matemática, ICMC
Eldar Straume: Norwegian University of Science and Technology, Department of Mathematical Sciences

Chapter Chapter 9 in Symbol Correspondences for Spin Systems, 2014, pp 159-161 from Springer

Abstract: Abstract In this chapter we present some concluding thoughts. For spin systems, adding to Rieffel’s old theorem on SO(3)-invariant strict deformation quantizations of the 2-sphere, one now also has to take into consideration the fact that generic symbol correspondence sequences do not yield Poisson dynamics in the asymptotic limit of high spin numbers. In light of these results, old and new, we reflect on the peculiar nature of the classical-quantum correspondence.

Keywords: Classical Mechanic; Spin System; Deformation Quantization; Semiclassical Approximation; Poisson Manifold (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-08198-4_9

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DOI: 10.1007/978-3-319-08198-4_9

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