Results 41 to 50 of about 109,220 (265)
Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
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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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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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Differential calculus on the quantum Heisenberg group
, 1996 The differential calculus on the quantum Heisenberg group is conlinebreak structed. The duality between quantum Heisenberg group and algebra is proved.Comment: AMSTeX, Pages
Bonechi F +7 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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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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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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, 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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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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