Nonlinear realizations and the orbit method

Abstract

Given a symmetry group one can construct the invariant dynamics using the technique of nonlinear realizations or the orbit method. The relationship between these methods is discussed. Few examples are presented.

20 pages, no figures; references added

References in corpus (9)

• Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry
• Remarks on l-conformal extension of the Newton-Hooke algebra
• Dynamical realization of l-conformal Galilei algebra and oscillators
• Dynamical realizations of l-conformal Newton-Hooke group
• Nonrelativistic conformal groups and their dynamical realizations
• Newton-Hooke type symmetry of anisotropic oscillators
• Kohn's theorem and Newton-Hooke symmetry for Hill's equations
• Nonrelativistic conformal transformations in Lagrangian formalism
• Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem

Cited by in corpus (2)

• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras