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Comment on the Letter ``Polynomial-Time Simulation of Pairing Models on a Quantum Computer'', L. A. Wu, M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. 89, 057904 (2002).

Quantum Physics · Physics 2009-11-10 J. Dukelsky , J. M. Roman , G. Sierra

I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. Carlip

We calculate the Lyapunov exponents describing spatial clustering of particles advected in one- and two-dimensional random velocity fields at finite Kubo numbers Ku (a dimensionless parameter characterising the correlation time of the…

Fluid Dynamics · Physics 2013-11-11 K. Gustavsson , B. Mehlig

In this paper, we introduce a couple of classes of functions, denoted by DU and EB. We present the relationship between them and other known classes. Also, we show that the elements of the class EB, are amenable and quasi-subadditive…

Functional Analysis · Mathematics 2021-09-21 Reinaldo Martinez , Marian Citlalli Cruz

This paper is superseded by arXiv:1106.3363.

Complex Variables · Mathematics 2011-11-29 Yûsuke Okuyama

In the paper based on the question of Zhang and L\"{u}[15], we present one theorem which will improve and extend the results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].

Complex Variables · Mathematics 2022-09-15 Abhijit Banerjee , Bikash Chakraborty

First derivatives with respect to the parameters of the Whittaker function $\mathrm{W}_{\kappa ,\mu }\left( x\right) $ are calculated. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of…

Classical Analysis and ODEs · Mathematics 2023-04-28 Alexander Apelblat , Juan Luis González-Santander

We revisit the second order estimate for solutions to the quaternionic Calabi-Yau problem on hyperk\"ahler manifolds, originally established by Dinew and Sroka. In this note, we present a simplified argument to derive the estimate.

Differential Geometry · Mathematics 2025-12-16 Giovanni Gentili , Luigi Vezzoni

This paper replies the comment by E. Kapuscik [Am. J. Phys. 77, 754 (2009)]

Classical Physics · Physics 2009-12-31 Jose A. Heras

By applying the Shiba mapping on the two particle level, we derive the relation between the local four-point correlation functions of bipartite lattice models with on-site electronic repulsion and those of the corresponding models with…

Strongly Correlated Electrons · Physics 2024-07-25 Herbert Eßl , Matthias Reitner , Giorgio Sangiovanni , Alessandro Toschi

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

Classical Analysis and ODEs · Mathematics 2025-12-22 Pablo Rocha

This is a reply to the comment to a letter by D. Mandal, K. Klymko and M. R. DeWeese published as Phys. Rev. Lett. 119, 258001 (2017).

Soft Condensed Matter · Physics 2018-09-11 Dibyendu Mandal , Katherine Klymko , Michael R. DeWeese

This paper has been withdrawn. An extended version of this work can be found in E. Cappelluti, C. Grimaldi, L. Pietronero, S. Straessler: Phys. Rev. Lett. 85, 4771 (2000) [cond-mat/0105560] and E. Cappelluti, C. Grimaldi, L. Pietronero, S.…

Superconductivity · Physics 2016-08-31 E. Cappelluti , C. Grimaldi , L. Pietronero , S. Strässler , G. A. Ummarino

In this paper we comment the results of ``Statistics of the Lyapunov Exponent in 1D random periodic-on-Average Systems" [Phys. Rev. Lett. {\bf 81}, 5390, 1998].

Disordered Systems and Neural Networks · Physics 2007-05-23 Pi-Gang Luan , Zhen Ye

The Laguerre functions $l_{n,\tau}^\alpha$, $n=0,1,\dots$, are constructed from generalized Laguerre polynomials. The functions $l_{n,\tau}^\alpha$ depend on two parameters: scale $\tau>0$ and order of generalization $\alpha>-1$, and form…

Numerical Analysis · Mathematics 2023-12-13 E. D. Khoroshikh , V. G. Kurbatov

The "effective exponent theory", developed by Wang, Millis and Das Sarma in [Phys. Rev. B 69, 167101 (2004), Phys. Rev. B 64, 193307 (2001)], fails to calculate correctly the dynamic correlators of Coulomb Luttinger liquid. Main drawbacks…

Strongly Correlated Electrons · Physics 2007-05-23 Yasha Gindikin , V. A. Sablikov

Methods are described in the framework of light-cone expansion which allow one to determine the Cabibbo-Kobayashi-Maskawa matrix elements |V_ub| and |V_cb| from measurements of the differential decay rates as a function of the scaling…

High Energy Physics - Phenomenology · Physics 2009-10-31 Changhao Jin

The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to…

chao-dyn · Physics 2009-10-22 Salman Habib , Robert D. Ryne

The matrix analogues of Laplace's method and Watson's lemma are derived via the approach described by Williams and Wong [J. Approx. Theory 24 (4) (1974), 378-384]. Some examples are also given.

Classical Analysis and ODEs · Mathematics 2024-04-30 Peng-Cheng Hang

This is to reply to a recent comment by Yang, Yuan and Zhang on ``Teleportation of two-quNit entanglement: Exploiting local resorces''.

Quantum Physics · Physics 2007-05-23 Nguyen Ba An