S. B. Sontz

activity

20052009

most citedOn Segal-Bargmann analysis for finite Coxeter groups and its heat kernel

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2005Show all

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math-ph2005

Accardi complementarity in $μ$ -deformed quantum mechanics

Claudio Pita-Ruiz, Stephen B. Sontz

In this note we show that the momentum and position operators of $μ$ -deformed quantum mechanics for $μ > 0$ are not Accardi complementary in a sense that we will define. We conjectu…

math-ph2005

On Shannon entropies in $μ$ -deformed Segal-Bargmann analysis

Claudio Pita-Ruiz, Stephen B. Sontz

We consider a $μ$ -deformation of the Segal-Bargmann transform, which is a unitary map from a $μ$ -deformed quantum configuration space onto a $μ$ -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…

Accardi complementarity in μ-deformed quantum mechanics

On Shannon entropies in μ-deformed Segal-Bargmann analysis

On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis

Accardi complementarity in $μ$ -deformed quantum mechanics

On Shannon entropies in $μ$ -deformed Segal-Bargmann analysis