70 citations · 573 across the 66 of their papers we have counts for
11 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…
Non-autonomous Henon-Heiles system from Painleve class
Maciej Blaszak
We show how to deform separable Henon-Heiles system with isospectral Lax representation, related with the stationary flow of the -order KdV, to respective non-autonomous syste…
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 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…
Natural star-products on symplectic manifolds and related quantum mechanical operators
Maciej Blaszak, Ziemowit Domanski
In this paper is considered a problem of defining natural star-products on symplectic manifolds, admissible for quantization of classical Hamiltonian systems. First, a construction…
Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure
Maciej Blaszak, Ziemowit Domanski
In the paper is presented an invariant quantization procedure of classical mechanics on the phase space over flat configuration space. Then, the passage to an operator representati…