Incompleteness of Representation Theory: Hidden symmetries and Quantum Non-Integrability
Nuclear Theory
2009-10-30 v1 Statistical Mechanics
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.nucl-th/9706053,
title = {Incompleteness of Representation Theory: Hidden symmetries and Quantum Non-Integrability},
author = {Dimitri Kusnezov},
journal= {arXiv preprint arXiv:nucl-th/9706053},
year = {2009}
}
Comments
4 pages, Revtex, Phys. Rev. Lett. , July 27 (1997), in press