Classical limit from a quantum logical perspective

FEDERICO HOLIK; SEBASTIAN FORTIN; LEONARDO VANNI

Dusseldorf

Conferencia; EPSA15; 2015

Thecomplete description of a quantum system involves non-commutative operators andas a consequence, the lattice of quantum properties is non-distributive. On theother hand, for classical systems, operators associated with properties commutewith each other (the algebra of functions on phase space is commutative); thus,classical properties are distributive. According with recent works there arequantum systems which, under certain particular conditions, evolve in a specialway: although initially the commutator between two operators is not zero, dueto the time evolution it tends to zero. In other words, non-Boolean latticesbecome Boolean. In the present work we study this transition from an algebraicapproach.