Projective limits of state spaces II. Quantum formalism

Lanery S, Thiemann T (2017)


Publication Status: Published

Publication Type: Journal article

Publication year: 2017

Journal

Publisher: ELSEVIER SCIENCE BV

Book Volume: 116

Pages Range: 10-51

DOI: 10.1016/j.geomphys.2017.01.011

Abstract

After discussing the formalism at the classical level in a first paper (Lanery, 2017), the present second paper is devoted to the quantum theory. In particular, we inspect in detail how such quantum projective state spaces relate to inductive limit Hilbert spaces and to infinite tensor product constructions (Lanery, 2016, subsection 3.1) [1]. Regarding the quantization of classical projective structures into quantum ones, we extend the results by Okolow (2013), that were set up in the context of linear configuration spaces, to configuration spaces given by simply-connected Lie groups, and to holomorphic quantization of complex phase spaces (Lanky, 2016, subsection 2.2) [1]. (C) 2017 Elsevier B.V. All rights reserved.

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APA:

Lanery, S., & Thiemann, T. (2017). Projective limits of state spaces II. Quantum formalism. Journal of Geometry and Physics, 116, 10-51. https://dx.doi.org/10.1016/j.geomphys.2017.01.011

MLA:

Lanery, Suzanne, and Thomas Thiemann. "Projective limits of state spaces II. Quantum formalism." Journal of Geometry and Physics 116 (2017): 10-51.

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