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THE QUANTUM GALILEI GROUP [PDF]
Modern Physics Letters A, 1995 The quantum Galilei group Gκ is defined. The bicross-product structure of Gκ and the corresponding Lie algebra is revealed. The projective representations for two-dimensional quantum Galilei group are constructed.
Giller, S. +3 more
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Broadband surface-emitting THz laser frequency combs with inverse-designed integrated reflectors
APL Photonics, 2023 THz quantum cascade lasers (QCLs) based on double metal waveguides feature broadband and high-temperature devices for their use in spectroscopy and sensing. However, their extreme field confinement produces poor output coupling efficiencies and divergent
Urban Senica +6 more
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From Quantum Groups to Groups [PDF]
Canadian Journal of Mathematics, 2013 AbstractIn this paper we use the recent developments in the representation theory of locally compact quantum groups, to assign to each locally compact quantum group 𝔾 a locally compact group 𝔾˜ that is the quantum version of point-masses and is an invariant for the latter. We show that “quantum point-masses” can be identified with several other locally
Kalantar, Mehrdad, Neufang, Matthias
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Extremely large area (88 mm × 88 mm) superconducting integrated circuit (ELASIC)
Scientific Reports, 2023 Superconducting integrated circuit is a promising “beyond-CMOS” device technology enables speed-of-light, nearly lossless communications to advance cryogenic (4 K or lower) computing.
Rabindra N. Das +11 more
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Introduction to Quantum Groups [PDF]
Reviews in Mathematical Physics, 1998 We give an elementary introduction to the theory of algebraic and topological quantum groups (in the spirit of S. L. Woronowicz). In particular, we recall the basic facts from Hopf (*-) algebra theory, theory of compact (matrix) quantum groups and the theory of their actions on compact quantum spaces.
Podleś, P., Müller, E.
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Quantum groups and polymer quantum mechanics [PDF]
Modern Physics Letters A, 2021 In Polymer Quantum Mechanics, a quantization scheme that naturally emerges from Loop Quantum Gravity, position and momentum operators cannot be both well defined on the Hilbert space [Formula: see text]. It is henceforth deemed impossible to define standard creation and annihilation operators.
Acquaviva G., Iorio A., Smaldone L.
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Quantum Channels with Quantum Group Symmetry [PDF]
Communications in Mathematical Physics, 2022 In this paper we will demonstrate that any compact quantum group can be used as symmetry groups for quantum channels, which leads us to the concept of covariant channels. We, then, unearth the structure of the convex set of covariant channels by identifying all extreme points under the assumption of multiplicity-free condition for the associated fusion
Hun Hee Lee, Sang-Gyun Youn
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The cluster and dual canonical bases of Z[x(11), ..., x(33)] are equal [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 Combinatorics
Brendon Rhoades
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The Baum-Connes conjecture for free orthogonal quantum groups [PDF]
, 2011 We prove an analogue of the Baum–Connes conjecture for free orthogonal quantum groups. More precisely, we show that these quantum groups have a γ-element and that γ=1. It follows that free orthogonal quantum groups are K-amenable.
Voigt, C. +2 more
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AIP Conference Proceedings, 1994 These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. Gómez, G.
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