Related papers: Classical limit of the Kepler problem and the cont…

Understanding how classical physics emerges from quantum mechanics remains a central problem in the foundations of physics. Here we derive a classical limit from finite-resolution measurements, modeled by continuous coarse-grained POVMs.…

This paper has been withdrawn by the author, due to a crucial error in page 5.

We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coincide on the class of convex domains in the classical phase…

The paper has been withdrawn by the author.

In this paper we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing with second order vector…

This paper has been withdrawn by the author due to a crucial error in equation.

This paper has been withdrawn by the author because the arguments presented in the paper is incomplete.

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the…

The paper has been withdrawn.

This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.

This paper is withdrawn because its results have been previously reported in arxiv hep-th/0507200.

We present a remarkable discretization of the classical Kepler problem which preserves its trajectories and all integrals of motion. The points of any discrete orbit belong to an appropriate continuous trajectory.

This paper has been withdrawn.

I withdraw the previous version of the paper since it contains conceptual and mathematical mistakes. I will soon replace it with a radically revised version.

This paper has been withdrawn by the authors due to an error in Section 7.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn. The main technical result will reappear in the new version of quant-ph/0501003.

A semiclassical approximation is derived by using a family of wavepackets to map arbitrary wavefunctions into phase space. If the Hamiltonian can be approximated as linear over each individual wavepacket, as often done when presenting…

Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…