Momentum map

A Momentum Map for the Heisenberg Group - MDPI

In this paper, we look at a coadjoint equivariant momentum map associated with the Heisenberg group, which arises from the affine action of R 2 n on itself.

Newest 'moment-map' Questions - MathOverflow

Let G be a compact connected Lie group acting in a Hamiltonian fashion on a symplectic manifold M with momentum map μ:M→g∗, where g is the Lie algebra of G.

Momentum Maps and Morita Equivalence - Project Euclid

(3) We study Morita equivalence of quasi-symplectic groupoids. In particular, we prove that Morita equivalent quasi-symplectic groupoids give rise to equivalent ...

Circle-valued momentum maps for symplectic periodic flows

... momentum map relative to some symplectic form. This momentum map is Morse-Bott-Novikov and each connected component of the fixed point set ...

Momentum mapping and reduction in contact Hamiltonian systems

This integrals of motions are described by the well-known momentum mapping. Furthermore, the equations of motion can be simplified by a process ...

MOMENTUM MAPS & CLASSICAL FIELDS – Overview –

momentum map. MARK J. GOTAY (PIMS, UBC). MOMENTUM MAPS & CLASSICAL FIELDS. – Overview –. Toronto, July, 2012. 20 / 27. Page 52. Connections: — These two aspects ...

On the Classical and Quantum Momentum Map

Chapter 1 gives some background about momentum map in symplectic geometry. After a short overview of Lie group actions and Hamiltonian systems, ...

momentum mappings - Fakultät für Mathematik

MOMENTUM MAPPINGS. Peter W. Michor. The momentum map is essentially due to Lie, [5], pp. 300–343. The modern notion is due to Kostant [3], Souriau [9], and ...

Moment maps and statistics — spectral-cube v0.6.6.dev40+ge88dc72

Moment map equations¶ · 0th moment - the integrated intensity over the spectral line. Units are cube unit times spectral axis unit (e.g., K km/s). · 1st moment ...

Momentum map components - (Symplectic Geometry) - Fiveable

Momentum map components are mathematical functions that describe how symmetries of a mechanical system correspond to conserved quantities, particularly in ...

Momentum mapping format - Wikipedia

The Material Point Method (MPM) is a numerical technique using a mixed Eulerian-Lagrangian description. It discretises the computational domain with material ...

The optimal momentum map - NASA/ADS

momentum mapping. The symplectic or Marsden--Weinstein reduction procedure ... In this work, a new momentum map will be defined that is capable of ...

(PDF) Geometry of the momentum map - ResearchGate

We find that a weak moment map interacts with this correspondence in a way analogous to the moment map in symplectic geometry. We define a ...

The Moment Map and the Orbit Method 1 Hamiltonian G-actions and ...

More details about the moment map and co-adjoint orbits can be found in [1] and [2]. 1 Hamiltonian G-actions and the Moment Map. Last time we saw that for a ( ...

The Homotopy Momentum Map of General Relativity - MPG.PuRe

We show that the map from vector fields to their. Noether currents is part of a homotopy momentum map in the sense of multisymplectic geometry.

Momentum map reduction for nonholonomic systems - IOPscience

Momentum map reduction for nonholonomic systems, Paula Balseiro, Maria Eugenia Garcia, Cora Inés Tori, Marcela Zuccalli.

Momentum Maps, Dual Pairs and Reduction in Deformation ...

We recall the classical notions of momentum map, hamiltonian action and symplectic dual pair in Section 1. In Section 2.2 we discuss quantum momentum maps and ...

mathematics momentum symplectic geometry interior product hamiltonian action group action closed and exact differential forms lie group symplectomorphism.

Fedosov *-products and quantum momentum maps — Penn State

By introducing the notion of "quantum exponential maps" we give a characterization of Fedosov connections. As an application, a geometric realization is ...

The momentum map representation of images - CORE

Finally, we discuss the use of momentum maps in the design of image registration algorithms when the image data is defined on manifolds instead ...