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

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

1997-06-22

arxiv.org/abs/nucl-th/9706053v1

Phys.Rev.Lett. 79 (1997) 537-540

Physics

Nuclear Physics

Nuclear Theory

4 pages, Revtex, Phys. Rev. Lett. , July 27 (1997), in press

Scientific paper

10.1103/PhysRevLett.79.537

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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