Results 31 to 40 of about 142,691 (284)
Tangent Dirac Structures and Poisson Dirac Submanifolds
Dhaka University Journal of Science, 2015 The local equations that characterize the submanifolds N of a Dirac manifold M is an isotropic (coisotropic) submanifold of TM endowed with the tangent Dirac structure. In the Poisson case which is a result of Xu: the submanifold N has a normal bundle which is a coisotropic submanifold of TM with the tangent Poisson structure if and only if N is a ...
MR Khan, MG M Talukder, Md Showkat Ali
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Differential operator Dirac structures
IFAC-PapersOnLine, 2021 As shown in earlier work, skew-adjoint linear differential operators, mapping efforts into flows, give rise to Dirac structures on a bounded spatial domain by a proper definition of boundary variables. In the present paper this is extended to pairs of linear differential operators defining a formally skew-adjoint relation between flows and efforts ...
van der Schaft, Arjan, Maschke, Bernhard
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Multiplicative Dirac structures [PDF]
Pacific Journal of Mathematics, 2013 In this paper we introduce multiplicative Dirac structures on Lie groupoids, providing a unified framework to study both multiplicative Poisson bivectors (i.e., Poisson group(oid)s) and multiplicative closed 2-forms (e.g., symplectic groupoids). We prove that for every source simply connected Lie groupoid $G$ with Lie algebroid $AG$, there exists a one-
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Exciton–polariton condensates near the Dirac point in a triangular lattice
New Journal of Physics, 2013 Dirac particles, massless relativistic entities, obey linear energy dispersions and hold important implications in particle physics. The recent discovery of Dirac fermions in condensed matter systems including graphene and topological insulators has ...
N Y Kim +5 more
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Electronic reconstruction forming a C 2-symmetric Dirac semimetal in Ca3Ru2O7
npj Quantum Materials, 2021 Electronic band structures in solids stem from a periodic potential reflecting the structure of either the crystal lattice or electronic order. In the stoichiometric ruthenate Ca3Ru2O7, numerous Fermi surface-sensitive probes indicate a low-temperature ...
M. Horio +21 more
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Removable presymplectic singularities and the local splitting of Dirac structures [PDF]
, 2016 We call a singularity of a presymplectic form $\omega$ removable in its graph if its graph extends to a smooth Dirac structure over the singularity. An example for this is the symplectic form of a magnetic monopole.
Blohmann, Christian
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Современная математика: Фундаментальные направленияFor Hamiltonian systems on symplectic manifolds with constraints in the Dirac model of generalized Hamiltonian dynamics, V. V. Kozlov considered the operation of symplectic projection of a Hamiltonian vector field for the case of generalized ...
T. V. Salnikova, E. I. Kugushev
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Reduction of Stokes-Dirac structures and gauge symmetry in port-Hamiltonian systems
, 2012 Stokes-Dirac structures are infinite-dimensional Dirac structures defined in terms of differential forms on a smooth manifold with boundary. These Dirac structures lay down a geometric framework for the formulation of Hamiltonian systems with a nonzero ...
Scherpen, Jacquelien M. A. +2 more
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Geometric quantization of Dirac manifolds [PDF]
, 2015 We define prequantization for Dirac manifolds to generalize known procedures for Poisson and (pre) symplectic manifolds by using characteristic distributions obtained from 2-cocycles associated to Dirac structures.
Hirota, Yuji
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DIRAC STRUCTURES FROM LIE INTEGRABILITY [PDF]
International Journal of Geometric Methods in Modern Physics, 2012 We prove that a pair (F = vector sub-bundle of TM, its annihilator) yields an almost Dirac structure which is Dirac if and only if F is Lie integrable. Then a flat Ehresmann connection on a fiber bundle ξ yields two complementary, but not orthogonally, Dirac structures on the total space M of ξ.
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