Results 11 to 20 of about 8,967,833 (257)
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
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The Harmonic Oscillator on the Heisenberg Group [PDF]
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Riesz Potential on the Heisenberg Group [PDF]
Journal of Inequalities and Applications, 2011 The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Xiao Jinsen, He Jianxun
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A Momentum Map for the Heisenberg Group [PDF]
SymmetryWe look at a momentum map associated with the Heisenberg group. We show that the cocycle associated with its momentum mapping is the value of a modulus of an associated coadjoint orbit.
Cushman, Richard
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Construction of Frames on the Heisenberg Groups [PDF]
Analysis and Geometry in Metric Spaces, 2020 In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen +2 more
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Lithium Niobate Electro-Optic Photonic Processor for Variational Quantum Eigensolver. [PDF]
Adv Sci (Weinh)An integrated lithium‐niobate‐on‐insulator ququart processor implements an electro‐optically controlled photonic variational quantum eigensolver using single photons encoded in four path modes. Bell‐basis‐emulating ququart projective measurements reduce measurement settings while achieving chemical‐accuracy‐level molecular‐energy estimation.
Lee J +11 more
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Heisenberg-Lie commutation relations in Banach algebras. [PDF]
, 2009 Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob +1 more
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The braided Heisenberg group [PDF]
Journal of Mathematical Physics, 1993 The braided groups and braided matrices B(R) for the solution R of the Yang–Baxter equation associated to the quantum Heisenberg group are computed. It is also shown that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra Uq(h), and this result is used to derive an action of Uq(h) on the ...
Baskerville, W. K., Majid, S.
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Deformation quantization of the Heisenberg group [PDF]
Communications in Mathematical Physics, 1994 (TeX 9 pages, some misprints are here corrected)
BONECHI F. +3 more
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A frequency space for the Heisenberg group [PDF]
Annales de l'Institut Fourier, 2019 We revisit the Fourier analysis on the Heisenberg group ℍ d .
Bahouri, Hajer +2 more
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