3 citations · 7 across the 3 of their papers we have counts for
6 papers
Non-existence of Bose-Einstein condensation in Bose-Hubbard model in dimensions 1 and 2
Piotr Stachura, Wiesław Pusz, Jacek Wojtkiewicz
We apply the Bogoliubov inequality to the Bose-Hubbard model to rule out the possibility of Bose-Einstein condensation. The result holds in one and two dimensions, for any filling…
Bogolyubov inequality for the ground state and its application to interacting rotor systems
Wiesław Pusz, Piotr Stachura, Jacek Wojtkiewicz
We have formulated and proved the Bogolyubov inequality for operators at zero temperature. So far this inequality has been known for matrices, and we were able to extend it to cert…
Operator reflection positivity inequalities and their applications to interacting quantum rotors
Jacek Wojtkiewicz, Wiesław Pusz, Piotr Stachura
In the Reflection Positivity theory and its application to statistical mechanical systems, certain matrix inequalities play a central role. The Dyson-Lieb-Simon and Kennedy-Lieb-Sh…
On some low dimensional quantum groups
W. Pusz, P. M. Soltan
This paper is an adaptation of a chapter from an upcoming monograph on noncommutative geometry and quantum groups. We present examples of non compact quantum groups which are defor…
Functional form of unitary representations of the quantum "az+b" group
W. Pusz, P. M. Sołtan
The formula for all unitary representations of the quantum "az+b" group for a real deformation parameter is given. The description involves the quantum exponential function introdu…
Analysis on a Homogeneous Space of a Quantum Group
W. Pusz, P. M. Sołtan
A detailed account of the construction of a homogeneous space for the quantum "az+b" group is presented. The homogeneous space is described by a commutative C*-algebra which means…