11 citations · 41 across the 13 of their papers we have counts for
14 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…
The -Poincaré Group on a -level
Piotr Stachura
The -algebraic -Poincaré Group is constructed. The construction uses groupoid algebras of differential groupoids associated to Lie group decomposition. It turns out the und…
Sensitivity of Love and quasi-Rayleigh waves to model parameters
David R. Dalton, Michael A. Slawinski, Piotr Stachura +1
We examine the sensitivity of the Love and the quasi-Rayleigh waves to model parameters. Both waves are guided waves that propagate in the same model of an elastic layer above an e…
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…
Forward problem for Love and quasi-Rayleigh waves: Exact dispersion relations and their sensitivities
David R. Dalton, Michael A. Slawinski, Piotr Stachura +1
We examine two types of guided waves: the Love and the quasi-Rayleigh waves. Both waves propagate in the same model of an elastic isotropic layer above an elastic isotropic halfspa…
On the Poisson structure related to -Poincaré Group
Piotr Stachura
It is shown that the Poisson structure related to -Poincaré group is dual to a certain Lie algebroid structure, the related Poisson structure on the (affine) Minkowski space is…