Results 81 to 90 of about 1,124,071 (202)
Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices
Annalen der Physik, Volume 537, Issue 12, December 2025.It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
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The symplectic geometry of p-form gauge fields
Journal of High Energy PhysicsWe formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of submanifolds of
Chris Hull, Maxim Zabzine
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Journal of Applied Mathematics, 2011 The transversely isotropic magnetoelectroelastic solids plane problem in rectangular domain is derived to Hamiltonian system. In symplectic geometry space with the origin variables—displacements, electric potential, and magnetic potential, as well as ...
Xiao-Chuan Li, Wei-An Yao
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Symplectic geometry in hybrid and impulsive optimal control
Communications in Analysis and MechanicsHybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory was applied to these systems and a hybrid version of Pontryagin's maximum principle was presented.
William Clark, Maria Oprea
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Locally conformal symplectic manifolds
International Journal of Mathematics and Mathematical Sciences, 1985 A locally conformal symplectic (l. c. s.) manifold is a pair (M2n,Ω) where M2n(n>1) is a connected differentiable manifold, and Ω a nondegenerate 2-form on M such that M=⋃αUα (Uα- open subsets). Ω/Uα=eσαΩα, σα:Uα→ℝ, dΩα=0.
Izu Vaisman
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Variational principle and phase space measure in non-canonical coordinates
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2005 Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates.
Sergi, A
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The Higgs mechanism — Hasse diagrams for symplectic singularities
Journal of High Energy Physics, 2020 We explore the geometrical structure of Higgs branches of quantum field theories with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic singularities, and as such admit a decomposition (or foliation ) into so-called symplectic leaves, which
Antoine Bourget +6 more
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Symplectic Geometry Aspects of the Parametrically-Dependent Kardar-Parisi-Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability. [PDF]
Entropy (Basel), 2023 Prykarpatski AK, Pukach PY, Vovk MI.
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Toric Geometry of the Regular Convex Polyhedra
Journal of Mathematics, 2017 We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the ...
Fiammetta Battaglia, Elisa Prato
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