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This paper has been withdrawn by the author due to an error in the derivation.

Statistical Mechanics · Physics 2011-04-22 David Andrieux

Kucha{\v{r}} showed that the quantum dynamics of (1 polarization) cylindrical wave solutions to vacuum general relativity is determined by that of a free axially-symmetric scalar field along arbitrary axially-symmetric foliations of a fixed…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Demian H. J. Cho , Madhavan Varadarajan

This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.

Astrophysics · Physics 2012-08-27 George A. Baker,

The recent study by Waclawczyk et al. [J. Phys. A: Math. Theor. 50, 175501 (2017)] possesses three shortcomings: (i) The analysis misses a key aspect of the LMN equations which makes their Lie-group symmetry results incomplete. In…

Fluid Dynamics · Physics 2022-05-03 Michael Frewer , George Khujadze , Holger Foysi

We introduce the notion of the geometrically equivalent quantum systems (GEQS) as quantum systems that lead to the same geometric phases for a given complete set of initial state vectors. We give a characterization of the GEQS. These…

Quantum Physics · Physics 2008-11-26 Ali Mostafazadeh

The main result of Xiao et al. [ Phys. Rev. Lett. 95, 137204 (2005)] is shown to follow from Hamiltonian mechanics.

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Duval , Z. Horvath , P. Horvathy , L. Martina , P. Stichel

Using a result of Longo and Xu, we show that the anomaly arising from a cyclic permutation orbifold of order 3 of a holomorphic conformal net $\mathcal A$ with central charge $c=8k$ depends on the "gravitational anomaly" $k\pmod 3$. In…

Mathematical Physics · Physics 2019-01-01 Marcel Bischoff

The "anomalous" values of C. Ferrie and J. Combes in Phys. Rev. Lett. 113, 120404 (2014) say nothing about quantum - or even classical - physics. They are not analogues of the weak values that emerge when we describe the quantum world via…

Quantum Physics · Physics 2014-10-03 Yakir Aharonov , Daniel Rohrlich

In this reply, we address the comment by Ericsson and Sjoqvist on our paper [Phys. Rev. A {\bf 84}, 034103 (2011)]. We point out that the zero gauge field is not the evidence of trivial geometric phase for a non-Abelian SU(2) gauge field.…

Quantum Physics · Physics 2013-01-28 Y. X. Du , Z. Y. Xue , X. D. Zhang , H. Yan

This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen L. Adler

This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…

General Relativity and Quantum Cosmology · Physics 2017-02-27 Ali Övgün , Kimet Jusufi

We show that the criticism of our paper [Phys. Rev. B 65, 125109 (2002)] by Wang, Millis, and Das Sarma [cond-mat/0206203] is based on a trivial mathematical mistake they have committed.

Strongly Correlated Electrons · Physics 2009-11-07 Yasha Gindikin , V. A. Sablikov

After reviewing the description of an unstable state in the framework of Lee Hamiltonians (valid both for Quantum Mechanics (QM) and Quantum Field Theory (QFT)), we consider some theoretical aspects of non-exponential decays: the case of…

Quantum Physics · Physics 2017-11-22 Francesco Giacosa

This is a reply to the comment by A. W. Sandvik (cond-mat/0010433) on our paper Phys. Rev. Lett. 84, 4204 (2000). We show that his data do not conflict with our data nor with our conclusions.

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Todo , H. Takayama , N. Kawashima

This paper has been withdrawn by the author as the conjecture proposed in it is wrong.

High Energy Physics - Theory · Physics 2007-05-23 S. Khlebnikov

In quantum mechanics, one can express the evolution operator and other quantities in terms of functional integrals. The main goal of this paper is to prove corresponding results in the geometric approach to quantum theory. We apply these…

High Energy Physics - Theory · Physics 2023-05-08 Igor Frolov , Albert Schwarz

We point out a mistake in the main statement of \cite{liu} and suggest and proof a correct statement.

Dynamical Systems · Mathematics 2015-10-07 Vladimir S. Matveev

The calculations of Guang-Wen Ma's recent Letter [Phys.Lett. A239, (1998) 209] contain an easily detectable error which makes his conclusions irrelevant.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lajos Diosi

The question raised by [Bastin and Martin 2003 J. Phys. B: At. Mol. Opt. Phys. 36, 4201] is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques…

Quantum Physics · Physics 2009-11-10 M. Abdel-Aty , A. -S. F. Obada
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