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The formalism of classical and quantum mechanics on phase space leads to symplectic and Heisenberg group representations, respectively. The Wigner functions give a representation of the quantum system using classical variables. The…

Quantum Physics · Physics 2007-05-23 Ajay Patwardhan

This paper has been withdrawn by the authors due to some technical problems in the paper.

Chemical Physics · Physics 2008-04-18 Zekan Qian , Rui Li , Xingyu Zhao , Shimin Hou , Stefano Sanvito

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

Differential Geometry · Mathematics 2009-03-20 Zuoliang Hou , Xi-Nan Ma , Damin Wu

The derivation is studied in relation with the space of Schwartz of functions. This paper has been withdrawn by the author.

Classical Analysis and ODEs · Mathematics 2007-05-23 Antoine Balan

We withdraw this paper due to insufficient arguments in the derivation of Theorem 1. See quant-ph/0005062 for the new paper

Quantum Physics · Physics 2007-05-23 Barbara M. Terhal

This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019

Data Analysis, Statistics and Probability · Physics 2007-05-23 Armin Bunde , Jan F. Eichner , Rathinaswamy Govindan , Shlomo Havlin , Eva Koscielny-Bunde , Diego Rybski , Dmitry Vjushin

The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory. We develop a quantum formalism on the basis of a linear-invariant theorem, which gives an exact…

Quantum Physics · Physics 2020-10-20 Jeong Ryeol Choi

We consider the problem of constraining a particle to a submanifold Sigma of configuration space using a sequence of increasing potentials. We compare the classical and quantum versions of this procedure. This leads to new results in both…

Mathematical Physics · Physics 2007-05-23 Richard Froese , Ira Herbst

The paper is withdrawn by the author due to an oversimplified and misleading approach which was taken initially as a starting point.

High Energy Physics - Theory · Physics 2007-05-23 G. Bonelli

This paper has been withdrawn by the author due to a crucial error in equation (51).

Combinatorics · Mathematics 2009-02-04 Jonathan Novak

In this paper we have investigated the classical limit in Bohmian quantum cosmology. It is observed that in the quantum regime where the quantum potential is greater than the classical one, one has an expansion in terms of negative powers…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Shojai , A. Shirinifard

This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points

Differential Geometry · Mathematics 2007-05-23 J. C. González- Dávila

In this note we collect some known facts concerning central projection correspondances and time parametrizations of Kepler problems in Euclidean spaces and on Spheres.

Dynamical Systems · Mathematics 2017-12-19 Lei Zhao

This paper is withdrawn. While almost all findings reported here remain valid, some of our comments on the fate of weak localization corrections to the conductance in the deep semiclassical limit are now obsolete. Contrarily to what was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

This paper has been withdrawn by the author. This paper is now obsolete. For a solution please see: arXiv:/1205.4265.

Information Theory · Computer Science 2015-03-19 Virgil Griffith

The paper has been withdrawn

Quantum Physics · Physics 2016-09-08 S. De Martino , S. De Siena , F. Illuminati

This paper has been withdrawn by the author. The central result is now included in quant-ph/0309056 (as in the journal publication!). An erratum on the Heisenberg perturbation series estimate is also included therein.

Quantum Physics · Physics 2007-05-23 John Gough

The paper has been withdrawn by authors. The issues studied in this paper were changed so much that we have published a new paper considering these issues. See hep-th/0406074

High Energy Physics - Theory · Physics 2007-05-23 Asko Jokinen , Anupam Mazumdar

This paper has been withdrawn by the author due to a coming paper completely superseding it.

Analysis of PDEs · Mathematics 2009-08-13 Nam Q. Le