A Dynamic Systems Approach to Fermions and Their Relation to Spins
  Dynamic properties of fermionic systems, like contollability, reachability, and simulability, are investigated in a general Lie-theoretical frame for quantum systems theory. Observing the parity superselection rule, we treat the fully controllable and quasifree cases, as well as various translation-invariant and particle-number conserving cases. We determine the respective dynamic system Lie algebras to express reachable sets of pure (and mixed) states by explicit orbit manifolds. 
Zolt\'an Zimbor\'as and Robert Zeier and Michael Keyl and T.   Schulte-Herbrueggen
quant-ph math-ph math.MP