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Gedanken Experiment for Delineating the Regime for the Start of quantum effects, and Their End, Using Turok’s Perfect Bounce Criteria and Radii of a Bounce Maintaining quantum effects, as Delineated by Haggard and Rovelli

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Journal of High Energy Physics, Gravitation and Cosmology 2016年第3期2卷 287-292页

作者： Andrew Walcott Beckwith Physics Department College of Physics Chongqing University Chongqing China

Haggard and Rovelli delineated an outer radius as to the range of quantum effects, which extends past the Schwartzshield radius. This is defined as 7/3 times the mass of the initial cosmological system. We also have a range of perturbative effects as delineated by Turok’s article which gives a range of values of for which second order perturbative terms in cosmological evolution may play a role, where we have second order perturbation terms for which . Right afterwards, there are no perturbative behavior and no perturbation if . This is the 2nd order term for perturbing term for GW (Gravitational wave) as denoted by , and near the “zero point” of cosmological expansion, and from there we determine the size of the quantum effects, i.e. when they initiate, the relevant initial entropy, so as to determine the radii of initial cosmology, so quantum gravity may initiate its activity, in our toy universe. The criteria of Turok is used to obtain the relevant mass, m, used in the initial radii so that it is 7/3 times the mass of the initial cosmological system. We use the “Criteria of Turok” to delineate the start of quantum gravity effects. Mass m is done via appealing to graviton mass, and that times initial entropy, which is commented upon in Equation (9).

关键词： quantum effects Haggard and Rovelli

Boltzmann Equations with quantum effects (2): Entropy Identity, Existence and Uniqueness of Spatial Decay Solutions

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Tsinghua Science and Technology 2002年第3期7卷 219-222页

作者：张英魁卢旭光 Department of Mathematical Sciences Tsinghua University Beijing 100084 China

A previous study is continued by investigating the Boltzmann equation for particles with quantum effects (BQE). First, the corresponding entropy identity is proved, then if the initial data f(x,v,0) satisfies 0... 详细信息

关键词： Boltzmann equation quantum effects existence uniqueness entropy identity spatial decay

Boltzmann Equations with quantum effects (1):Long Time Behavior of Spatial Decay Solutions

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Tsinghua Science and Technology 2002年第3期7卷 215-218页

作者：张英魁卢旭光 Department of Mathematical Sciences Tsinghua University Beijing 100084 China

The Boltzmann equations for Fermi-Dirac particles and Bose-Einstein particles, both in the absence of external force fields, are combined into a more general form called the Boltzmann equation with quantum effects (BQE). It is assumed that the initial data f(x,v,0) satisfies 0≤f(x,v,0)≤cΦ(x,v,0) for a positive constant c and certain types of control functions Φ(x,v,t). Then within a given function space B(Φ), we prove that f(x+tv,v,t) uniformly converges to f ∞(x,v) in a certain norm where f ∞(x,v)= limt→∞f(x+tv,v,t) and different initial data determines different long time limits.

关键词： Boltzmann equation quantum effects spatial decay solution long time behavior

Nuclear Fusion Within Extremely Dense Plasma Enhanced by quantum Particle Waves

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Plasma Science and Technology 2015年第5期17卷 366-371页

作者：苗峰曾宪俊邓柏权 Southwest University for Nationalities HOPE Innovations Inc. Southwestern Institute of Physics

quantum effects play an enhancement role in p-p chain reactions occurring within stars. Such an enhancement is quantified by a wave penetration factor that is proportional to the density of the participating fuel particles. This leads to an innovative theory for dense plasma, and its result shows good agreement with independent data derived from the solar energy output. An analysis of the first Z-pinch machine in mankind＇s history exhibiting neutron emission leads to a derived deuterium plasma beam density greater than that of water, with plasma velocities exceeding 10000 km/s. Fusion power could be achieved by the intersection of four such pinched plasma beams with powerful head-on collisions in their common focal region due to the beam and target enhanced reaction.

关键词： quantum effects fusion enhancement extremely dense plasma

Effect of spin on the instability of THz plasma waves in field-effect transistors under non-ideal boundary conditions

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Plasma Science and Technology 2023年第12期25卷 24-30页

作者：张丽萍李佳妮冯江旭苏俊燕 School of Sciences Lanzhou University of TechnologyLanzhou 730050People’s Republic of China

Terahertz(THz) radiation can be generated due to the instability of THz plasma waves in field-effect transistors(FETs). In this work, we discuss the instability of THz plasma waves in the channel of FETs with spin and quantum effects under non-ideal boundary conditions. We obtain a linear dispersion relation by using the hydrodynamic equation, Maxwell equation and spin equation. The influence of source capacitance, drain capacitance, spin effects, quantum effects and channel width on the instability of THz plasma waves under the non-ideal boundary conditions is investigated in great detail. The results of numerical simulation show that the THz plasma wave is unstable when the drain capacitance is smaller than the source capacitance;the oscillation frequency with asymmetric boundary conditions is smaller than that under non-ideal boundary conditions;the instability gain of THz plasma waves becomes lower under non-ideal boundary conditions. This finding provides a new idea for finding efficient THz radiation sources and opens up a new mechanism for the development of THz technology.

关键词： the instability of THz plasma waves spin effects non-ideal boundary conditions quantum effects field-effect transistors

Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode

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Communications in Computational Physics 2008年第10期4卷 1034-1050页

作者： Xin Hu Shaoqiang Tang Maxime Leroux CAPT College of EngineeringPeking UniversityBeijing 100871China Applied and ComputationalMathematics California Institute of TechnologyPasadenaCA 91125USA Department of Physics ENS de Lyon69364 Lyon cedex 07France

We investigate the validity of stationary simulations for semiconductor quantum charge transport in a one-dimensional resonant tunneling diode via fluid type *** numerical investigations to a quantum hydrodynamic model reveal that the transient simulations do not always converge to the steady *** particular,growing oscillations are observed at relatively large applied voltage.A dynamical bifurcation is responsible for the stability interchange of the steady *** and stationary computations are also performed for a unipolar quantum drift-diffusion model.

关键词： quantum effects charge transport dissipation transient/stationary computation

Rate Coecients and Kinetic Isotope E ects of Cl+XCl→XCl+Cl(X=H,D,Mu)Reactions from Ring Polymer Molecular Dynamics

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Chinese Journal of Chemical Physics 2021年第4期34卷 453-461,I0003页

作者： Jun-hua Fang Wen-bin Fan Hui Yang Jia-ning Song Yong-le Li Department of Chemistry Shanghai UniversityShanghai 200444China Department of Physics International Center for Quantum and Molecular Structuresand Shanghai Key Laboratory of High Temperature SuperconductorsShanghai UniversityShanghai 200444China

The ring-polymer molecular dynamics(RPMD)was used to calculate the thermal rate coefficients and kinetic isotope effects of the heavy-light-heavy abstract reaction Cl+XCl→XCl+Cl(X=H,D,Mu).For the Cl+HCl reaction,the excellent agreement between the RPMD and experimental values provides a strong proof for the accuracy of the RPMD *** the RPMD results are also consistent with results from other theoretical methods including improved-canonical-variational-theory and quantum *** most novel finding is that there is a double peak in Cl+MuCl reaction near the transition state,leaving a free energy *** comes from the mode softening of the reaction system at the peak of the potential energy *** an explicit free energy well suggests strongly there is an observable *** for the Cl+DCl reaction,the RPMD rate coefficient again gives very accurate results compared with experimental *** only exception is at the temperature of 312.5 K,results from RPMD and all other theoretical methods are close to each other but slightly lower than the experimental value,which indicates experimental or potential energy surface deficiency.

关键词： Ring-polymer molecular dynamics quantum effects Recrossing effects Reaction rate coefficient Kinetic isotope effect

Surface Waves Excitation in Magnetized Spin quantum Plasmas

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Journal of Modern Physics 2016年第3期7卷 335-343页

作者： Bahaa F. Mohamed Salah Y. Elbakry Abrar A. Salah Plasma Physics Department N.R.C. Atomic Energy Authority Cairo Egypt Department of Physics Faculty of Science Ain-Shams University Cairo Egypt

The influence of the intrinsic spin of electrons on the excitation of transverse electromagnetic surface waves in magnetized plasma is considered. We use a fluid formalism to include quantum corrections due to the Bohm potential and magnetization energy of electrons due to its spin. The effects of both quantum corrections are shown in the dispersion relation for the propagation of surface waves. Also, it is found that the phase and group velocities are increased due to the quantum effects. In the nonrelativistic motion of electrons, the spin effects become noticeable even when the external magnetic field is relatively low.

关键词： quantum Plasma Spin Electron quantum effects

Construction of Potential Energy Surface for CIH2O System and Its Application in Ring Polymer Molecular Dynamics Study

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Construction of Potential Energy Surface for CIH2O System an...