Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Stachura, Piotr"'
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 at any nonzero temperature. This result can be considered as complemen
Externí odkaz:
http://arxiv.org/abs/1908.09188
Autor:
Stachura, Piotr
The $C^*$-algebraic $\kappa$-Poincar\'{e} Group is constructed. The construction uses groupoid algebras of differential groupoids associated to Lie group decomposition. It turns out the underlying $C^*$-algebra is the same as for "$\kappa$-Euclidean
Externí odkaz:
http://arxiv.org/abs/1809.10053
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 elastic halfspace. We study their dispersion curves without any simplif
Externí odkaz:
http://arxiv.org/abs/1703.10944
Publikováno v:
Reports on Mathematical Physics, Vol. 80, pp. 233-253, 2017
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 certain class of operators. We have also applied this inequality to the sy
Externí odkaz:
http://arxiv.org/abs/1611.02916
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 halfspace. From their dispersion relations, we calculate their speeds as func
Externí odkaz:
http://arxiv.org/abs/1607.07279
Autor:
Stachura, Piotr
Publikováno v:
International Journal of Geometric Methods in Modern Physics, Vol. 14 (2017), 1750133
It is shown that the Poisson structure related to $\kappa$-Poincar\'e group is dual to a certain Lie algebroid structure, the related Poisson structure on the (affine) Minkowski space is described in a geometric way.
Comment: 9 pages, no figures
Comment: 9 pages, no figures
Externí odkaz:
http://arxiv.org/abs/1509.05249
Publikováno v:
Reports on Mathematical Physics, Vol. 77, pp. 183-209, 2016
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-Shastry-Schupp inequalities constitute prominent examples. In this paper
Externí odkaz:
http://arxiv.org/abs/1507.03079
Autor:
Stachura, Piotr
The algebraic part of approach to groupoids started by S. Zakrzewski is presented.
Comment: 13 pages, no figures
Comment: 13 pages, no figures
Externí odkaz:
http://arxiv.org/abs/1311.3866
Autor:
Stachura, Piotr
Publikováno v:
JGP vol. 73, November 2013, pp 125-149
The more detailed description of the quantum 'ax+b' group of Baaj and Skandalis is presented. In particular we give generators and present formulae for action of the comultiplication on them; it is also shown that this group is a quantization of a Po
Externí odkaz:
http://arxiv.org/abs/1103.0149
Autor:
Stachura, Piotr
Publikováno v:
Rept.Math.Phys. 57 (2006) 233-256
We argue that the $\kappa$-deformation is related to a factorization of a Lie group, therefore {\em an approproate version of $\kappa$-Poincar\'{e} does exist on the $C^*$-algebraic level}. The explict form of this factorization is computed that lead
Externí odkaz:
http://arxiv.org/abs/hep-th/0505093