Symmetry as a source of hidden coherent structures in quantum physics: general outlook and examples

Abstract

A general algebraic approach, incorporating both invariance groups and dynamic symmetry algebras, is developed to reveal hidden coherent structures (closed complexes and configurations) in quantum many-body physics models due to symmetries of their Hamiltonians $H$. Its general ideas are manifested on some recent new examples: 1) G-invariant bi-photons and a related SU(2)-invariant treatment of unpolarized light; 2) quasi-spin clusters in nonlinear models of quantum optics; 3) construction of composite particles and (para)fields from G-invariant clusters due to internal symmetries.

10 pages, LATEX; Proceedings of VIII Int. Conf. on Symmetry Methods in Physics (Dubna, July 28-August 2, 1997)

References in corpus (2)

• An Algebraic Approach to Solving Evolution Problems in Some Nonlinear Quantum Models
• Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models

Cited by in corpus (1)

• Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations