7 citations · 14 across the 4 of their papers we have counts for
4 papers · 1 filter
Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. I. Frobenius integrability
Maciej Błaszak, Krzysztof Marciniak, Ziemowit Domański
This article is the first one in a suite of three articles exploring connections between dynamical systems of Stäckel-type and of Painlevé- type. In this article we present a defor…
Lax Representations for Separable Systems from Benenti Class
Maciej Błaszak, Ziemowit Domański
In this paper we construct Lax pairs for Stäckel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of…
Deformation quantization on the cotangent bundle of a Lie group
Ziemowit Domański
We develop a complete theory of non-formal deformation quantization on the cotangent bundle of a weakly exponential Lie group. An appropriate integral formula for the star-product…
Deformation quantization with minimal length
Ziemowit Domański, Maciej Błaszak
We develop a complete theory of non-formal deformation quantization exhibiting a nonzero minimal uncertainty in position. An appropriate integral formula for the star-product is in…