3 papers
math-ph2005
Accardi complementarity in -deformed quantum mechanics
Claudio Pita-Ruiz, Stephen B. Sontz
In this note we show that the momentum and position operators of -deformed quantum mechanics for are not Accardi complementary in a sense that we will define. We conjectu…
math-ph2005
On Shannon entropies in -deformed Segal-Bargmann analysis
Claudio Pita-Ruiz, Stephen B. Sontz
We consider a -deformation of the Segal-Bargmann transform, which is a unitary map from a -deformed quantum configuration space onto a -deformed quantum phase space (the $…
math-ph2005
On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis
C. Pita-Ruiz, S. B. Sontz
We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energ…