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

Valery P. Karassiov
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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.

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Valery P. Karassiov. 1998-01-12. Symmetry as a source of hidden coherent structures in quantum physics: general outlook and examples. https://doi.org/10.1134/1.855681

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