5 citations · 6 across the 3 of their papers we have counts for
10 papers
Time Evolution in Quantum Mechanics with a Minimal Time Scale
Ziemowit Domański
The existence of a minimum measurable length scale was suggested by various theories of quantum gravity, string theory and black hole physics. Motivated by this, we examine a quant…
Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. II. Isomonodromic Lax representation
Maciej Błaszak, Ziemowit Domański, Krzysztof Marciniak
This is the second article in a suite of articles investigating relations between Stäckel-type systems and Painlevé-type systems. In this article we construct isomonodromic Lax rep…
Separable quantizations of Stäckel systems
Maciej Blaszak, Krzysztof Marciniak, Ziemowit Domanski
In this article we prove that many Hamiltonian systems that can not be separably quantized in the classical approach of Robertson and Eisenhardt can be separably quantized if we ex…
Flat minimal quantizations of Stackel systems and quantum separability
Maciej Blaszak, Ziemowit Domanski, Burcu Silidir
In this paper, we consider the problem of quantization of classical Stäckel systems and the problem of separability of related quantum Hamiltonians. First, using the concept of Stä…
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…
Integrable quantum Stäckel systems
Maciej Blaszak, Ziemowit Domanski, Artur Sergyeyev +1
The Stäckel separability of a Hamiltonian system is well known to ensure existence of a complete set of Poisson commuting integrals of motion quadratic in the momenta. In the prese…