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This work addresses a central challenge in the numerical analysis of the cutoff spatially homogeneous Boltzmann equation: the development of rigorously justified, accurate numerical schemes. We present (i) a novel Fourier spectral method…

Numerical Analysis · Mathematics 2026-03-30 Yanzhi Gui , Ling-Bing He , Liu Liu

We respond to the recent comment [arXiv:1105.1593] on our Letter [G. G. Plunk and T. Tatsuno, Phys. Rev. Lett. 106, 165003 (2011)]. The comment claims that our argument for spectral transfer direction is incomplete. The comment gives an…

Plasma Physics · Physics 2011-06-07 G. G. Plunk , T. Tatsuno

We argue that the claimed optimality of a new process tomography method suggested in [quant-ph/0601033] and [quant-ph/0601034] is based on not completely fair comparison that does not take into account the available information in an equal…

Quantum Physics · Physics 2007-05-23 Mario Ziman

A recently introduced numerical approach to quantum systems is analyzed. The basis of a Fock space is restricted and represented in an algebraic program. Convergence with increasing size of basis is proved and the difference between…

High Energy Physics - Theory · Physics 2007-05-23 Maciej Trzetrzelewski

We analyze recent results for a harmonic oscillator in an environment with a pointlike defect. We show that the allowed oscillator frequencies predicted by the authors stem from a misinterpretation of the exact solutions of a conditionally…

Quantum Physics · Physics 2020-12-30 Francisco M. Fernández

Standard power series are used to construct and analyze angular and radial spheroidal functions, which are necessary for solving boundary value problems for Helmholtz equation in a spheroid. With an advanced approach the low-lying energy…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 N. A. Usov

In this work we show an analytical result for the scattering in a particular type of double quantum well triple barrier structure and numerical results, via the Numerov method, for bound states of a double quantum well triple barrier inside…

Quantum Physics · Physics 2015-07-17 R. V. Ramos , S. D. G. Martinz

Time-resolved Faraday rotation studies of CdS/CdSe/CdS quantum-dot quantum wells have recently shown that the Faraday rotation angle exhibits several well-defined resonances as a function of probe energy close to the absorption edge. Here,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Florian Meier , David D. Awschalom

The simultaneous quantum estimation of multiple parameters can provide a better precision than estimating them individually. This is an effect that is impossible classically. We review the rich background of multi-parameter quantum…

Quantum Physics · Physics 2016-09-28 Magdalena Szczykulska , Tillmann Baumgratz , Animesh Datta

Although it has been almost 100 years since the beginnings of quantum mechanics, the discussions about its interpretation still do not cease. Therefore, a survey of opinions regarding this matter is of particular interest. This poll was…

Quantum Physics · Physics 2013-03-13 Christoph Sommer

We show that the analysis presented in a recent comment by Coll and Ferrando \cite{comment} (qr-qc/0312058) is based on the erroneous assumption that the chemical potential and fractional concentration of a {\it mixture} of perfect fluids…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hernando Quevedo , Ruben D. Zarate

We show that the recently-introduced formalism by Neuhauser et al. for the calculation of the quasi-particle energies of electronic systems within the framework of the GW approximation of the self-energy operator, named the `stochastic GW…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Behnam Farid

Nonlinear corrections are proposed to the discrete equispaced area spectrum of quantum black holes obtained previously in some quantisation schemes. It is speculated that such a modified spectrum might be related to the fine structure found…

General Relativity and Quantum Cosmology · Physics 2009-08-20 Rajesh R Parwani

Using a recent reformulation of quantum mechanics where the potential function is not required, we are able to obtain the energy spectrum and wave function associated with the infinite square well analytically. Therefore, this work…

Mathematical Physics · Physics 2017-02-06 A. D. Alhaidari , T. J. Taiwo

Quantile regression and partial frontier are two distinct approaches to nonparametric quantile frontier estimation. In this article, we demonstrate that partial frontiers are not quantiles. Both convex and nonconvex technologies are…

Methodology · Statistics 2025-10-09 Sheng Dai , Timo Kuosmanen , Xun Zhou

There are some points in the reply of Horton et al. [http://stacks.iop.org/JPhysA/35/7963] to my comment [quant-ph/0202140] on their paper [quant-ph/0103114] which I cannot let stand without a response. I provide here some clarification of…

Quantum Physics · Physics 2007-05-23 Roderich Tumulka

An efficient quantum modular exponentiation method is indispensible for Shor's factoring algorithm. But we find that all descriptions presented by Shor, Nielsen and Chuang, Markov and Saeedi, et al., are flawed. We also remark that some…

Data Structures and Algorithms · Computer Science 2014-10-09 Zhengjun Cao , Zhenfu Cao , Lihua Liu

The so-called measurement problem of quantum theory (QT) is still lacking a satisfactory, or at least widely agreed upon, solution. A number of theories, known as interpretations of quantum theory, have been proposed and found differing…

Quantum Physics · Physics 2016-11-26 Hans H. Diel

It is pointed out that the claim made by Joshi and Joshi [1], has not been rigorously demonstrated by them. A simpler and more correct proof is provided.

General Relativity and Quantum Cosmology · Physics 2010-04-06 Asghar Qadir , Azad A. Siddiqui

Energy spectrum of an electron confined by finite hard-wall potential in a cylinder quantum dot placed in weak (up to 100 kOe) homogeneous external magnetic field were calculated using the method of variation of vector potential. Electronic…

Quantum Physics · Physics 2007-05-23 O. R. Lobanova , A. I. Ivanov