Lie particle and its Batalin–Tyutin extension
نویسندگان
چکیده
منابع مشابه
Lie Particle And Its Batalin - Tyutin Extension
In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomorphic to the angular momentum algebra. The work is in the spirit of our earlier works in this connection, i.e. PLB 618 (2005)243 and PLB 623 (2005)251, where the κ-Minkowski form of noncomutative spacetime was consider...
متن کامل2 00 5 Lie Particle And Its Batalin - Tyutin Extension
In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature. The work is in the spirit of our earlier works in this connection, i.e. PLB 618 (2005)243 and PLB 623 (2005)251. This non-linear and operatorial nature of the configuration space coordinate algebra can pose problems regarding its quantiz...
متن کاملOn an Isospectral Lie-Poisson System and Its Lie Algebra
In this paper we analyse the matrix differential system X ′ = [N,X], where N is skew-symmetric and X(0) is symmetric. We prove that it is isospectral and that it is endowed with a Poisson structure, and discuss its invariants and Casimirs. Formulation of the Poisson problem in a Lie–Poisson setting, as a flow on a dual of a Lie algebra, requires a computation of its faithful representation. Alt...
متن کاملA Bayesian Interpretation of the Particle Swarm Optimization and Its Kernel Extension
Particle swarm optimization is a popular method for solving difficult optimization problems. There have been attempts to formulate the method in formal probabilistic or stochastic terms (e.g. bare bones particle swarm) with the aim to achieve more generality and explain the practical behavior of the method. Here we present a Bayesian interpretation of the particle swarm optimization. This inter...
متن کاملOn Heisenberg Uncertainty Relationship, Its Extension, and the Quantum Issue of Wave-Particle Duality
Within the path integral Feynman formulation of quantum mechanics, the fundamental Heisenberg Uncertainty Relationship (HUR) is analyzed in terms of the quantum fluctuation influence on coordinate and momentum estimations. While introducing specific particle and wave representations, as well as their ratio, in quantifying the wave-to-particle quantum information, the basic HUR is recovered in a...
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: Physics Letters B
سال: 2006
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2005.12.021