Geodesic
Quantum limit theorems
Katarzyna Lubnauer1
1 Faculty of Mathematics /L/od/x University S. Banacha 22 90-238 /L/od/x, Poland
Studia Mathematica, Tome 164 (2004) no. 2, pp. 103-120

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by $2\times 2$ matrices.
DOI : 10.4064/sm164-2-1
Keywords: noncommutative analogue limit theorems classical probability theory distributions canonical pairs observables considered complete description limit probability operators which quantum counterparts classical infinitely divisible semistable laws obtained scalar norming generalised norming times matrices

Katarzyna Lubnauer 1

1 Faculty of Mathematics /L/od/x University S. Banacha 22 90-238 /L/od/x, Poland 
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Katarzyna Lubnauer. Quantum limit theorems. Studia Mathematica, Tome 164 (2004) no. 2, pp. 103-120. doi: 10.4064/sm164-2-1

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