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The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast…

Statistical Mechanics · Physics 2014-08-19 M. Horváth , T. S. Biró

The quantum Boltzmann equation, or Fokker-Planck equation, has been used to successfully explain a number of experiments in semiconductor optics in the past two decades. This paper reviews some of the developments of this work, including…

Statistical Mechanics · Physics 2010-11-18 D. W. Snoke

Recently, three experiments have been proposed in order to show that the standard and Bohmian quantum mechanics can have different predictions at the individual level of particles. However, these thought experiments have encountered some…

Quantum Physics · Physics 2007-05-23 M. Golshani , O. Akhavan

It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality,…

Quantum Physics · Physics 2012-06-19 Huw Price

We study the acoustic limit from the Boltzmann equation in the framework of classical solutions. For a solution $F_\varepsilon=\mu +\varepsilon \sqrt{\mu}f_\varepsilon$ to the rescaled Boltzmann equation in the acoustic time scaling…

Analysis of PDEs · Mathematics 2009-04-29 Juhi Jang , Ning Jiang

Comment on "Indispensable Finite Time Correlations for Fokker-Planck Equations from Time Series Data"

Data Analysis, Statistics and Probability · Physics 2009-11-07 R. Friedrich , Ch. Renner , M. Siefert , J. Peinke

In this Comment I point out some limitations of the proposal of Prezhdo and Brooksby for coupling quantum and classical degrees of freedom (Phys.Rev.Lett.86(2001)3215) if it is pushed too far.

Quantum Physics · Physics 2012-02-09 L. L. Salcedo

In this paper we criticize the attempt of Maccone [Phys. Rev. Lett. 103, 080401 (2009), arXiv:0802.0438] to solve the problem of the arrow of time.

Quantum Physics · Physics 2009-12-11 H. Nikolic

Most versions of classical physics imply that if the 4-volume of the entire space-time is infinite or at least extremely large, then random fluctuations in the matter will by coincidence create copies of us in remote places, so called…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Roderich Tumulka

The notion of distance between a global Maxwellian function and an arbitrary solution $f$ (with the same total density $\rho$ at the fixed moment $t$) of Boltzmann equation is introduced. In this way we essentially generalize the important…

Mathematical Physics · Physics 2015-06-03 Lev Sakhnovich

Paradoxes in the Boltzmann kinetic theory are presented. Firstly, it is pointed out that the usual notion concerning the perfect continuity of distribution function is not generally valid; in many important situations using certain types of…

Classical Physics · Physics 2007-05-23 C. Y. Chen

Quantum non-local correlations and the acausal, spooky action at a distance suggest a discord between quantum theory and special relativity. We propose a resolution for this discord by first observing that there is a problem of time in…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Shreya Banerjee , Sayantani Bera , T. P. Singh

Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by 'superposition' in each case is extremely different. In this paper we discuss some of the multiple interpretations which exist in the…

Quantum Physics · Physics 2015-06-16 Newton da Costa , Christian de Ronde

The notions of time in the theories of Newton and Einstein are reviewed so that certain of their assumptions are clarified. These assumptions will be seen as the causes of the incompatibility between the two different ways of understanding…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Hitoshi Kitada , Lancelot R. Fletcher

Multi-time equations are evolution equations involving several time variables, one for each particle. Such equations have been considered for the purpose of making theories manifestly Lorentz invariant. We compare their status and…

Quantum Physics · Physics 2014-03-04 Sören Petrat , Roderich Tumulka

We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for…

Mathematical Physics · Physics 2007-12-31 Gianluca Panati , Herbert Spohn , Stefan Teufel

In the note by Khemani et al. [arXiv:2001.11037] the authors express conceptual disagreement with our recent paper on quantum time crystals [Phys. Rev. Lett. 123, 210602]. They criticise the idealized nature of the considered quantum time…

Quantum Physics · Physics 2020-05-14 Valerii K. Kozin , Oleksandr Kyriienko

The goal of this work is to present an approach to the homogeneous Boltzmann equation for Maxwellian molecules with a physical collision kernel which allows us to construct unique solutions to the initial value problem in a space of…

Analysis of PDEs · Mathematics 2009-07-13 Marco Cannone , Grzegorz Karch

The possibilities of unlike particle correlations for a study of particle delays and spatial shifts in relativistic heavy ion collisions are demonstrated. This report represents the unpublished Ref. [4] in the paper by S. Voloshin et al.,…

Nuclear Theory · Physics 2007-05-23 R. Lednicky , S. Panitkin , N. Xu

In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

Quantum Physics · Physics 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige