Results 31 to 40 of about 42,140 (265)
Real spectral triples on crossed products
Reviews in Mathematical Physics, 2022 Given a spectral triple on a unital [Formula: see text]-algebra [Formula: see text] and an equicontinuous action of a discrete group [Formula: see text] on [Formula: see text], a spectral triple on the reduced crossed product [Formula: see text]-algebra [Formula: see text] was constructed by Hawkins, Skalski, White and Zacharias in [On spectral triples
Alessandro Rubin, Ludwik Dąbrowski
openaire +3 more sources
Applied Sciences, 2022 We demonstrated extra-cavity gain narrowing pre-compensating in a regenerative amplifier with a multi-order triple-wavelength waveplate (WP). With a 1.117 mm thickness quartz waveplate, which was placed on the stretcher, the gain narrowing effect was ...
Baozhen Zhao +7 more
doaj +1 more source
, 2018 We give a construction of an odd spectral triple on the Cuntz algebra $O_{N}$, whose $K$-homology class generates the odd $K$-homology group $K^1(O_{N})$. Using a metric measure space structure on the Cuntz-Renault groupoid, we introduce a singular integral operator which is the formal analogue of the logarithm of the Laplacian on a Riemannian manifold.
Goffeng, Magnus, Mesland, Bram
openaire +2 more sources
On spectral triples in quantum gravity II [PDF]
Journal of Noncommutative Geometry, 2009 A semifinite spectral triple for an algebra canonically associated to canonical quantum gravity is constructed. The algebra is generated by based loops in a triangulation and its barycentric subdivisions. The underlying space can be seen as a gauge fixing of the unconstrained state space of Loop Quantum Gravity. This article is the second of two papers
Aastrup, Johannes +2 more
openaire +6 more sources
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
doaj +1 more source
Hyperspectral Probing of Exciton dynamics and Multiplication in PbSe Nanocrystals
EPJ Web of Conferences, 2013 Height time hyperspectral near IR probing providing broad-band coverage is employed on PbSe nanocrystals, uncovering spectral evolution following high energy photo-excitation due to hot exciton relaxation and recombination.
Bawendi M.G. +5 more
doaj +1 more source
Quantum Isometry Group for Spectral Triples with Real Structure
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from quantum group theory) and ...
Debashish Goswami
doaj +1 more source
Improved Automatic Detection of GPS Satellite Oscillator Anomaly using a Machine-Learning Algorithm
Navigation, 2022 This paper presents a random forest-based machine learning algorithm to automatically detect satellite oscillator anomalies using dual- or triple-frequency GPS carrier phase measurements.
Yunxiang Liu, Y. Jade Morton
doaj +1 more source
Spectral Triples in Particle Physics [PDF]
EPJ Web of Conferences, 2018 We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known results based on different approaches within Noncommutative Geometry, list problems which appeared ...
openaire +3 more sources
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored.
Johannes Aastrup +1 more
doaj +1 more source