Quantum integrability in systems with finite number of levels

Details Quantum integrability in systems with finite number of levels Quantum integrability in systems with finite number of levels

2011-11-14

arxiv.org/abs/1111.3375v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 1 figure

Scientific paper

We consider the problem of defining quantum integrability in systems with
finite number of energy levels starting from commuting matrices. We argue that
if the matrices depend on a (real) parameter, one can provide a definition from
this feature alone, leading to specific results such as exact solvability,
Poissonian energy level statistics and to level crossings.

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