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Nonrelativistic conformal groups

- J. Negro, M. A. Olmo, A. Rodrı́guez-Marco
- Mathematics
- 1 July 1997

In this work a systematic study of finite-dimensional nonrelativistic conformal groups is carried out under two complementary points of view. First, the conformal Killing equation is solved to obtain… Expand

Classical Systems and Representations of (2+1) Newton-Hooke Symmetries

- O. Arratia, M. Martín, M. A. Olmo
- Physics, Mathematics
- 8 March 1999

This paper investigates the classical and quantum elementary systems with Newton-Hoooke symmetry. A complete classification is given by explicit computation. In addition, we present an application… Expand

Moyal quantization of 2+1‐dimensional Galilean systems

- A. Ballesteros, M. Gadella, M. A. Olmo
- Mathematics
- 1 October 1992

Stratonovich–Weyl kernels are constructed for some of the coadjoint orbits of the two‐dimensional extended Galilean group G(2+1). As an intermediate step, the unitary irreducible representations… Expand

Discrete derivatives and symmetries of difference equations

- D. Levi, J. Negro, M. A. Olmo
- Mathematics, Physics
- 26 October 2000

We show with an example of the discrete heat equation that for any given discrete derivative we can construct a nontrivial Leibniz rule suitable for finding the symmetries of discrete equations. In… Expand

Anyons, group theory and planar physics

- J. Negro, M. A. Olmo, J. Tosiek
- Physics, Mathematics
- 2 December 2005

Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an interaction with a… Expand

On the local equivalence in a unidimensional world

- J. Negro, M. A. Olmo
- Mathematics
- 1 March 1993

The physical meaning of some semiunitary irreducible realizations of the unidimensional Poincare and Galilei groups, including time inversion, which are characteristic of a unidimensional world is… Expand

Classical superintegrable SO (p, q) Hamiltonian systems

- J. A. Calzada, M. A. Olmo, Miguel A. Rodriguez
- Mathematics
- 1 August 1997

Abstract A family of superintegrable real Hamiltonian systems exhibiting SO ( p , q ) symmetry is obtained by symmetry reduction from free SU ( p , q ) integrable Hamiltonian systems. Among them we… Expand

Integrable systems based on SU(p,q) homogeneous manifolds

- M. A. Olmo, Miguel A. Rodriguez, P. Winternitz
- Mathematics
- 1 November 1993

The general theory of the separation of variables in Hamilton–Jacobi and Laplace–Beltrami equations on the SU(p,q) hyperboloid is used to introduce completely integrable Hamiltonian systems on O(p,q)… Expand

Nonrelativistic conformal groups. II. Further developments and physical applications

- J. Negro, M. A. Olmo, A. Rodrı́guez-Marco
- Physics
- 1 July 1997

The finite-dimensional conformal groups associated with the Galilei and (oscillating or expanding) Newton–Hooke space–time manifolds was characterized by the present authors in a recent work. Three… Expand

The Stratonovich–Weyl correspondence for one‐dimensional kinematical groups

- M. Gadella, M. Martín, L. Nieto, M. A. Olmo
- Mathematics
- 1 May 1991

The Stratonovich–Weyl correspondence is a restatement of the Moyal quantization where the phase space is a manifold and where a group of transformations acts on it transitively. The first and most… Expand

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