9 citations · 16 across the 23 of their papers we have counts for
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math-ph2007★ 1 cited
Accardi complementarity for -1/2 < mu < 0 and related results
Lenin A. Echavarria Cepeda, Claudio Pita Ruiz, Stephen B. Sontz
We show (an earlier conjecture of the last two authors) that the momentum and position operators of mu-deformed quantum mechanics for -1/2 < mu < 0 are not Accardi complementary. W…
math-ph2007
Direct and reverse log-Sobolev inequalities in -deformed Segal-Bargmann analysis
Carlos Ernesto Angulo Aguila, Stephen Bruce Sontz
Both direct and reverse log-Sobolev inequalities, relating the Shannon entropy with a -deformed energy, are shown to hold in a family of -deformed Segal-Bargmann spaces. This…
math-ph2007
The -deformed Segal-Bargmann transform is a Hall type transform
Stephen Bruce Sontz
We present an explanation of how the -deformed Segal-Bargmann spaces, that are studied in various articles of the author in collaboration with Angulo, Echevarria and Pita, can b…