Related papers: Classical limit of the Kepler problem and the cont…
Withdrawn by authors.
The new bound on quantum speed limit (in terms of relative purity) is derived by applying the original Mandelstam-Tamm one to the evolution in the space of Hilbert-Schmidt operators acting in the initial space of states. It is shown that it…
This version has been withdrawn. The new and final version is on ArXiv 1103.4878
The paper contains description of the path integrals in the action-angle phase space. It allows to split the action and angle degrees of freedom and to show that the angular quantum corrections cancel each other if the classical classical…
This paper has been withdrawn because the part concerning the definition of global hyperbolicity has already been included in an expanded and clearer way in gr-qc/0611138. The remainder will be also extended and posted.
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]
This paper has been withdrawn by the author(s)!
In this note, we prove a finiteness result for fibers that are canonical lifts in a given elliptic fibration. The question was motivated by the authors' construction of an arithmetic Euler top, and it highlights an interesting discrepancy…
This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used to compute the integrals of motion. The same investigation…
This paper has been withdrawn by the authors due to substantial changes.
The paper has been withdrawn by change of content and some errors in the examples.
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This paper has been withdrawn by the author, since some results of the paper have been already obtained in [J.~Lewandowski, Class. Quantum Grav. 9 (1992), no. 10, L147--L151.]
Simple classical mechanical systems and solution spaces of classical field theories involve singularities. In certain situations these singularities can be understood in terms of stratified Kaehler spaces. We give an overview of a research…
This paper is withdrawn.
We demonstrated that classical mechanics have, besides the well known quantum deformation, another deformation -- so called hyperbolic quantum mechanics. The classical Poisson bracket can be obtained as the limit $h\to 0$ not only of the…
This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.
This paper has been withdrawn temporarily.
The paper is withdrawn by the author because it is superseded by cond-mat/0303357 .
This paper has been temporarily withdrawn for corrections.