Symbol Correspondences for a Spin-j System

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 6 in Symbol Correspondences for Spin Systems, 2014, pp 77-104 from Springer

Abstract: Abstract In this chapter we define, classify and study symbol correspondences for a spin-j system, presenting explicit constructions. Our cornerstone is the concept of characteristic numbers of a symbol correspondence, which provides coordinates on the moduli space of spin-j symbol correspondences. As we shall see below, for any j a (quite smaller) subset of characteristic numbers can be distinguished in terms of a stricter requirement for an isometric correspondence. However, a more subtle distinction is obtained in the asymptotic limit n = 2j → ∞, to be explored in Chap. 8 .

Keywords: Modulus Space; Coherent State; Explicit Construction; Characteristic Number; Operator Kernel (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_6

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DOI: 10.1007/978-3-319-08198-4_6

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