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Incompleteness of Representation Theory: Hidden symmetries and Quantum Non-Integrability

Dimitri Kusnezov
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Abstract

Representation theory is shown to be incomplete in terms of enumerating all integrable limits of quantum systems. As a consequence, one can find exactly solvable Hamiltonians which have apparently strongly broken symmetry. The number of these hidden symmetries depends upon the realization of the Hamiltonian.

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Dimitri Kusnezov. 1997-06-22. Incompleteness of Representation Theory: Hidden symmetries and Quantum Non-Integrability. https://doi.org/10.1103/physrevlett.79.537

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