Angular momenta of relative equilibrium motions and real moment map geometry
نویسندگان
چکیده
منابع مشابه
Gravitomagnetism and Angular Momenta of Black-holes
Abstract We review the energy contents formulae of Kerr-Newman black-holes, where gravitomagnetic energy term comes to play(Berman, 2006; 2006a; 2004). Then, we obtain the angular momenta formulae, which include the gravitomagnetic effect. Three theorems can be enunciated: (1) No black-hole has its energy confined to its interior; (2) Rotating black-holes do not have confined angular momenta; (...
متن کاملOn Dunkl angular momenta algebra
We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all the defining relations of the algebra, which appear to be quadratic, and we show that the algebra is of Poincaré-Birkhoff-Witt (PBW) type. We ...
متن کاملAngular Moment Analysis of Low Relative Velocity Correlations
For analyzing anisotropic low relative-velocity correlation-functions and the associated emission sources, we propose an expansion in terms of cartesian spherical harmonics. The expansion coefficients represent angular moments of the investigated functions. The respective coefficients for the correlation and source are directly related to each other via one-dimensional integral transforms. The ...
متن کاملNotes 17 : Coupling of Angular Momenta 3
In these notes we discuss the coupling or addition of angular momenta, a problem that arises whenever different subsets of the degrees of freedom of a system, each possessing its own angular momentum operator, are combined to form the whole system. In such cases, the whole system also possesses an angular momentum operator. Alternatively, we may say that there is an action of the rotations on e...
متن کاملRelative Equilibria at Singular Points of the Moment Map
We prove a criterion for stability of relative equilibria in symmetric Hamiltonian systems at singular points of the momentum map. This generalizes a theorem of G.W. Patrick. The method of the proof is also useful in studying the bifurcation of relative equilibria.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2016
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-015-0644-2