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We study the many body quantum evolution of bosonic systems in the mean field limit. The dynamics is known to be well approximated by the Hartree equation. So far, the available results have the form of a law of large numbers. In this paper…

Mathematical Physics · Physics 2012-03-27 Gerard Ben Arous , Kay Kirkpatrick , Benjamin Schlein

Mach's principle asserts that the inertial mass of a body is related to the distribution of other distant bodies. This means that in the absence of other bodies, a single body has no mass. In this case, talking about motion is not possible,…

Quantum Physics · Physics 2018-10-30 Faramarz Rahmani , Mehdi Golshani

We provide an alternative approach to the decoherence-by-environment paradigm in the field of the quantum measurement process and the appearance of a classical world. In contrast to the decoherence approach we argue that the transition from…

Quantum Physics · Physics 2012-02-29 Manfred Requardt

We simulate the center of mass motion of cold atoms in a standing, amplitude modulated, laser field as an example of a system that has a classical mixed phase-space. We show a simple model to explain the momentum distribution of the atoms…

Quantum Physics · Physics 2007-05-23 M. Hug , G. J. Milburn

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2009-10-31 D. Vretenar , P. Ring , G. A. Lalazissis , N. Paar

The motion of a body endowed with dipolar as well as quadrupolar structure is investigated in the Kerr background according to the Dixon's model, extending a previous analysis done in the Schwarzschild background. The full set of evolution…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

Quantum Action Principle which has been used as a ground for a probabilistic interpretation of one-particle relativistic quantum mechanics \cite{GLL} is applied to quantum cosmology. The quantum creation of matter in a minisuperspace model…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Natalia Gorobey , Alexander Lukyanenko

The Einstein-Friedmann Universe as whole quantum object can be treated as bosonic string mass groundstate, called a tachyon, having negative mass square and a speed more than the speed of light. I present a brief review of results obtained…

High Energy Physics - Theory · Physics 2009-10-30 L. A. Glinka

We consider in this paper the quantum limits for measurements on macroscopic bodies which are obtained in a novel way employing the concept of decoherence coming from an analysis of the quantum mechanics of dissipative systems. Two cases…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carlos O. Escobar , Lea Ferreira dos Santos , Paulo C. Marques

Although cosmic expansion at very small distances is usually dismissed as entirely inconsequential, these extraordinarily small effects may in fact have a real and significant influence on our world. A calculation suggests that the minute…

General Physics · Physics 2007-05-23 C. L. Herzenberg

We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the…

Strongly Correlated Electrons · Physics 2015-05-13 Jianmin Tao , Xianlong Gao , G. Vignale , I. V. Tokatly

The Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless real scalar field in Einstein's universe is studied. By assuming the small displacement condition, the dispersion in the momentum and position of a…

General Relativity and Quantum Cosmology · Physics 2024-04-09 E. J. B. Ferreira , H. F. Santana Mota

We show that the instant motion of particle should be essentially discontinuous and random. This gives the logical basis of discontinuous motion. Since what quantum mechanics describes is the discontinuous motion of particles, this may also…

Popular Physics · Physics 2007-05-23 Rui Qi

This article provides a popular, largely non-technical explanation of how large objects can behave classically while smaller objects behave quantum mechanically, based on the effect of the presence of cosmic expansion velocities in extended…

General Physics · Physics 2007-05-23 C. L. Herzenberg

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

We report model calculations of the time-dependent internal energy and entropy for a single quasi-free massive quantum particle at a constant temperature. We show that the whole process started from a fully coherent quantum state to…

Statistical Mechanics · Physics 2013-03-20 Jian-Ping Peng

Several years ago the so-called quantum geometrodynamics in extended phase space was proposed. The main role in this version of quantum geometrodynamics is given to a wave function that carries information about geometry of the Universe as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Shestakova

A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an…

Mathematical Physics · Physics 2008-11-06 E. D. Belokolos

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

Biological Physics · Physics 2009-10-31 A. Czirok , T. Vicsek

We employ the metric of Schwarzschild space surrounded by quintessential matter to study the trajectories of test masses on the motion of a binary system. The results, which are obtained through the gradually approximate approach, can be…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-30 Fei Yu , Molin Liu , Yuanxing Gui