scholarly journals Momentum Maps and Stochastic Clebsch Action Principles

2017 ◽  
Vol 357 (2) ◽  
pp. 873-912 ◽  
Author(s):  
Ana Bela Cruzeiro ◽  
Darryl D. Holm ◽  
Tudor S. Ratiu
Keyword(s):  
Momentum Maps

scholarly journals The first law of black hole mechanics in the Einstein-Maxwell theory revisited

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Zachary Elgood ◽  
Patrick Meessen ◽  
Tomás Ortín
Keyword(s):  
Black Hole ◽  
Maxwell Theory ◽  
Gauge Invariant ◽  
Momentum Maps ◽  
Field Strengths

Abstract We re-derive the first law of black hole mechanics in the context of the Einstein-Maxwell theory in a gauge-invariant way introducing “momentum maps” associated to field strengths and the vectors that generate their symmetries. These objects play the role of generalized thermodynamical potentials in the first law and satisfy generalized zeroth laws, as first observed in the context of principal gauge bundles by Prabhu, but they can be generalized to more complex situations. We test our ideas on the d-dimensional Reissner-Nordström-Tangherlini black hole.

MULTIPLE LOCAL LAGRANGIANS FOR n-COMPONENT SUPER-KORTEWEG–DE VRIES-TYPE BI-HAMILTONIAN SYSTEMS

2010 ◽  
Vol 25 (05) ◽  
pp. 1069-1078 ◽  
Author(s):  
ÖMER OĞUZ ◽  
DEVRIM YAZICI
Keyword(s):  
Hamiltonian Systems ◽  
Hamiltonian Structure ◽  
Velocity Fields ◽  
Kinetic Term ◽  
Lagrangian Formalism ◽  
Momentum Maps ◽  
Miura Transformation ◽  
De Vries ◽  
Superintegrable Systems

The multiple Lagrangian formalism is constructed for n-component Korteweg–de Vries (KdV) type superintegrable systems. They all admit bi-Hamiltonian structure. The first two Lagrangians are local and degenerate. They contain Clebsch potentials for velocity fields and momentum maps in kinetic term. The first local Lagrangian for n-component supermodified KdV (smKdV) is also obtained by employing the multicomponent super-Miura transformation.

Multi-structure network shape analysis via normal surface momentum maps

NeuroImage ◽  
2008 ◽  
Vol 42 (4) ◽  
pp. 1430-1438 ◽  
Author(s):  
Anqi Qiu ◽  
Michael I. Miller
Keyword(s):  
Shape Analysis ◽  
Normal Surface ◽  
Momentum Maps

scholarly journals Momentum maps for mixed states in quantum and classical mechanics

2019 ◽  
Vol 11 (4) ◽  
pp. 639-656 ◽  
Author(s):  
Cesare Tronci ◽  
Keyword(s):  
Classical Mechanics ◽  
Mixed States ◽  
Momentum Maps

Cartan connections and momentum maps

2003 ◽  
Author(s):  
Paulette Libermann
Keyword(s):  
Momentum Maps ◽  
Cartan Connections
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