Results 101 to 110 of about 10,350 (137)
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Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
Mathematische Annalen, 2022We develop sheaf-theoretic methods to deal with non-smooth objects in symplectic geometry. We show the completeness of a derived category of sheaves with respect to the interleaving distance and construct a sheaf quantization of a Hamiltonian ...
Tomohiro Asano, Yuichi Ike
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Symplectic Geometry of Quantum Noise
Communications in Mathematical Physics, 2014We discuss a quantum counterpart, in the sense of the Berezin–Toeplitz quantization, of certain constraints on Poisson brackets coming from “hard” symplectic geometry. It turns out that they can be interpreted in terms of the quantum noise of observables
L. Polterovich
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Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory
Oberwolfach Reports, 2019Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, compressed sensing, and phase ...
E. King +3 more
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Symplectic quantization of the BF gravity in 1+1 dimensions
International Journal of Modern Physics AThis paper analyzes the symplectic structure and path integral quantization of [Formula: see text]-dimensional Background-Field (BF) theory, primarily focused on the study of gravity in two dimensions.
M. Bertin, B. M. Pimentel
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International Journal of Modern Physics A
Using the framework of non-commutative geometry, specifically the concepts of symplectic structure and the Weyl product, unitary representations of the Galilei group are constructed with the operators [Formula: see text] and [Formula: see text].
L. B. Ungem +4 more
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Using the framework of non-commutative geometry, specifically the concepts of symplectic structure and the Weyl product, unitary representations of the Galilei group are constructed with the operators [Formula: see text] and [Formula: see text].
L. B. Ungem +4 more
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On the Geometry of Slow-Fast Phase Spaces and the Semiclassical Quantization
Russian journal of mathematical physics, 2021M. Avendaño-Camacho +2 more
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Abelian Lagrangian algebraic geometry
, 2001A. Gorodentsev, A. Tyurin
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Infinite dimensional moment map geometry and closed Fedosov’s star products
, 2016Laurent La Fuente-Gravy
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String theory and quasiconformal maps
Lobachevskii Journal of Mathematics, 2017A. Sergeev
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