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This paper has been withdrawn due to errors found by authors. A correct version of this paper is published in: Tomasz M. Rusin, Wlodek Zawadzki, "Quantum theory of symmetric screening in the Hartree approximation", Phys. stat. sol. (b) 243,…

Materials Science · Physics 2007-05-23 Tomasz M. Rusin , Wlodek Zawadzki

We compare the results of our two papers with the results of the paper Aratyn H., Gomes J.F., Zimerman A.H., Higher order Painlev\'e equations and their symmetries via reductions of a class of integrable models, J. Phys. A: Math. Theor., V.…

Exactly Solvable and Integrable Systems · Physics 2014-09-18 Andrei K Svinin

These notes merely intend to memorialize Souriau's overlooked achievements regarding geo\-metric quantization of Poincar\'e-elementary symplectic systems. Restricting attention to his model of massless, spin-$\half$, particles, we…

Mathematical Physics · Physics 2016-02-03 Christian Duval

We discussed twisted quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S.Zakrzewski classification can be presented as a sum of subordinated…

Quantum Algebra · Mathematics 2008-01-05 V. N. Tolstoy

This is an extended abstract for a talk given at the Oberwolfach workshop "The Renormalization Group", March 13th - March 19th, 2011.

Mathematical Physics · Physics 2011-04-22 Abdelmalek Abdesselam

[Note: After the first version of this manuscript was uploaded, the authors of [Berta, Brand\~ao, Gour, Lami, Plenio, Regula, and Tomamichel, Quantum 7, 1103 (2023)] pointed out an issue about a part of the claims in the previous version of…

Quantum Physics · Physics 2024-02-27 Hayata Yamasaki , Kohdai Kuroiwa

This paper has been withdrawn due to errors found by authors. A correct version of this paper is published in: Tomasz M. Rusin, Wlodek Zawadzki, "Quantum theory of symmetric screening in the Hartree approximation" Phys. stat. sol. (b) 243,…

Other Condensed Matter · Physics 2007-05-23 Tomasz M. Rusin , Wlodek Zawadzki

It is shown that the recent criticism of Brevik et al. (hep-th/0004041) is in error.

High Energy Physics - Theory · Physics 2007-05-23 C. R. Hagen

This paper provides an algebraic reconstruction of Einstein's own argument for the incompleteness of quantum mechanics -- the one that he thought did not make it into the EPR paper -- in order to clarify the assumptions that underlie an…

Quantum Physics · Physics 2023-04-19 Iulian D. Toader

This paper was removed by arXiv admin because it plagiarizes "Ding, Yong(PRC-BJN); Fan, Dashan(PRC-ANH); Pan, Yibiao(1-PITT) Weighted boundedness for a class of rough Marcinkiewicz integrals. Indiana Univ. Math. J. 48 (1999), no. 3,…

Functional Analysis · Mathematics 2007-05-23 Sadek Gala

In this manuscript we reply to the criticisms of our paper [Eur. Phys. J. A 24, 437 (2005)] raised in a recent preprint by Achasov and Kiselev [hep-ph/0606268] and demonstrate that all their criticisms are completely irrelevant and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Kalashnikova , A. E. Kudryavtsev , A. V. Nefediev , J. Haidenbauer , C. Hanhart

In this paper is discussed description of some algebraic structures in quantum theory by using formal recursive constructions with "complex Poincar\'e group" ISO(4,C).

Mathematical Physics · Physics 2007-05-23 Alexander Yu. Vlasov

We consider new Abelian twists of Poincare algebra describing non-symmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski spaces. We apply corresponding twist quantization in two ways: as…

High Energy Physics - Theory · Physics 2018-01-17 Jerzy Lukierski , Daniel Meljanac , Stjepan Meljanac , Danijel Pikutic , Mariusz Woronowicz

This paper was removed by arXiv admin because it plagiarizes "Ding, Yong(PRC-BJN); Fan, Dashan(PRC-ANH); Pan, Yibiao(1-PITT) Weighted boundedness for a class of rough Marcinkiewicz integrals. Indiana Univ. Math. J. 48 (1999), no. 3,…

Functional Analysis · Mathematics 2007-05-23 Sadek gala

In the paper are proved theorems, which amplify the results of my paper "On the difference equation of Poincare type (Part 3)", Max-Plank-Institut fuer Mathematik, Bonn, Preprint Series, 2004, 09, 1-34.

Number Theory · Mathematics 2007-05-23 L. A. Gutnik

There is a huge number of excellent and comprehensive textbooks on quantum mechanics. They mainly differ for the approach, more or less oriented to the formalism rather than to the phenomenology, as well as for the topics covered. These…

Quantum Physics · Physics 2026-04-16 Antonio Barletta

Due to its length and several inaccuracies, this article is no longer suggested for reading. Moreover, in the meantime certain results presented herein could be improved by the author in a non-trivial fashion. Instead, the reader is…

Differential Geometry · Mathematics 2009-06-13 Tillmann Jentsch

This paper provides a complete list of Krajewski diagrams representing the standard model of particle physics. We will give the possible representations of the algebra and the anomaly free lifts which provide the representation of the…

High Energy Physics - Theory · Physics 2009-05-26 Christoph A. Stephan

This paper has been withdrawn by the authors owing to a mistake in the proof of the basic lemma.

Quantum Physics · Physics 2008-07-16 John Cardy , Deepak Dhar

The title says it all.

Classical Analysis and ODEs · Mathematics 2008-02-03 Alphonse P. Magnus