Results 41 to 50 of about 110,593 (279)
Monge's transport problem in the Heisenberg group [PDF]
, 2010 We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous ...
Ambrosio B. +15 more
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Quantum holonomies and the Heisenberg group [PDF]
Modern Physics Letters A, 2019 Quantum holonomies of closed paths on the torus [Formula: see text] are interpreted as elements of the Heisenberg group [Formula: see text]. Group composition in [Formula: see text] corresponds to path concatenation and the group commutator is a deformation of the relator of the fundamental group [Formula: see text] of [Formula: see text], making ...
J. E. Nelson, R. F. Picken
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Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
Comptes Rendus. Mathématique, 2020 In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and ...
Chattopadhyay, Arup +3 more
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Wiener measure for Heisenberg group
, 2013 In this paper, we build Wiener measure for the path space on the Heisenberg group by using of the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral.
Liu, Heping, Wang, Yingzhan
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Hyperfinite-Dimensional Representations of Canonical Commutation Relation [PDF]
, 1997 This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis.
Hideyasu Yamashita, Hinokuma T.
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Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories
, 2006 A large class of quiver gauge theories admits the action of finite Heisenberg groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a manifest Z_q shift symmetry acting on the quiver along with a second Z_q rephasing (clock) generator
Beasley +16 more
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Hypoellipticity on the Heisenberg group
Journal of Functional Analysis, 1979 AbstractLet P be a left-invariant differential operator on the Heisenberg group Hn, P homogeneous with respect to the dilations on Hn. We show that a necessary and sufficient condition for the hypoellipticity of P is that π(P) be an injective operator for every irreducible unitary representation π of Hn (except the trivial representation). Furthermore,
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Discrete flavour symmetries from the Heisenberg group
Physics Letters B, 2016 Non-abelian discrete symmetries are of particular importance in model building. They are mainly invoked to explain the various fermion mass hierarchies and forbid dangerous superpotential terms.
E.G. Floratos, G.K. Leontaris
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, 2011 Symmetries in quantum mechanics are realized by the projective representations of the Lie group as physical states are defined only up to a phase. A cornerstone theorem shows that these representations are equivalent to the unitary representations of the
Campoamor-Stursberg, R. +2 more
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Lipschitz Homotopy Groups of the Heisenberg Groups [PDF]
Geometric and Functional Analysis, 2014 14 pages, fixed bibliography, to appear in ...
Wenger, Stefan, Young, Robert
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