We treat heavy quark as an open quantum system in the hot medium, and rederive the Stochastic Schrödinger Equation (SSE) from the full Schrödinger equation for both heavy quarks and the medium. We apply the SSE to the dynamical evolutions of heavy quarks (as a system) in the static hot medium (as an environment). Heavy quarks interact with the medium via random scatterings, which exchange the momentum and phase factor randomly between two wave functions of the system and the environment. The exchange of momentum and phase factor results in the transition between different eigenstates of the system. These are included via an external stochastic potential in the Hamiltonian of SSE. Stochastic wave functions of heavy quarks are evolved with the stochastic external potential. The mean wave functions and the corresponding momentum distributions of heavy quarks are obtained after the ensemble average over a large set of stochastic wave functions. We present the thermalization of heavy quarks in the static medium with different coupling strength.
Objective The purpose of this study was to examine the psychometric properties of the Attitude Survey Inclusive Education-Parents (ASIE-P) in mainland China. Methods A sample of 1,656 parents (70.59% female) from 27 provinces in mainland China completed the online survey. The data set was randomly split into two equal parts for exploratory factor analyses (EFA) and confirmatory factor analysis (CFA), respectively. Results The result of EFA showed two factors (emotion and cognition) underlining the Chinese parents’ attitude towards inclusive education. Results of CFA confirmed the two-factor structure and good psychometric properties of the Chinese version of the ASIE-P. Conclusions The two-factor structure of the Chinese version of the ASIE-P is different from that in Western societies. Despite this, the Chinese version of the ASIE-P is reliable and valid for Chinese parents, and can be used as a measurement tool for studies of Chinese parents' attitude toward inclusive education.
Strong electromagnetic fields produced in the non-central heavy-ion collisions can induce vector meson photoproduction. In this paper, we study the photoproduction J/ψ and ϕ mesons in the relativistic heavy-ion collision from ultra-peripheral nuclear collisions to peripheral hadronic heavy ion collisions. And then include both initial hadronic production and thermal production in quark-gluon plasma (QGP). We find, for the charm anti-charm bound state J/ψ, the photoproduced J/ψs are mainly in the very low momentum region and clearly exceed the hadronic production. However, considering the thermal production of strange quark anti-quark pairs in QGP produced in relativistic heavy-ion collisions, the photoproduced ϕ is usually smaller than the thermal production and only evident at very peripheral collisions as even their photoproduction is much larger than J/ψ.
We treat heavy quark as an open quantum system in the hot medium, and rederive the Stochastic Schr"odinger Equation (SSE) from the full Schr"odinger equation for both heavy quarks and the medium. We apply the SSE to the dynamical evolutions of heavy quarks (as a system) in the static hot medium (as an environment). Heavy quarks interact with the medium via random scatterings, which exchange the momentum and phase factor randomly between two wave functions of the system and the environment. The exchange of momentum and phase factor results in the transition between different eigenstates of the system. These are included via an external stochastic potential in the Hamiltonian of SSE. Stochastic wave functions of heavy quarks are evolved with the stochastic external potential. The mean wave functions and the corresponding momentum distributions of heavy quarks are obtained after the ensemble average over a large set of stochastic wave functions. We present the thermalization of heavy quarks in the static medium with different coupling strength.
In daily life, we will find that the loudspeaker device is always cone-shaped, because the conical device has a good sound amplification effect. This article mainly explores the influence of the shape and size of the conical device on the loudness of the distant sound by establishing a theoretical model and using the finite difference method for numerical simulation. At the same time, the theoretical numerical simulation method is promoted, so that it can be widely used in more aspects.
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