研究了在零点电磁场（ZPF）中沿圆轨道运动的极化方向垂直于旋转平面的小振子。时间周期性条件被施加在ZPF上，与旋转振荡器观察ZPF的方式相关联。它们类似于Casimir现象中的空间边界条件，从而导致ZPF谱由连续谱变为离散谱，并由此得到修正ZPF的有效温度（Y. S. Levin）。利用电磁场的双线性关联函数计算了近区振子对修正ZPF散射产生的平均向心力。在关联函数的重整化之后，这在物理上意味着提取纯周期性效应，力具有有限值。所有的计算进行了使用随机电动力学的方法。力的径向分量指向旋转中心。在非相对论情况下，当振子频率小于转动频率时，力与转动半径成正比。这样的结果可能意味着ZPF中振子的微运动在没有任何其他外力的情况下维持其平均圆周运动的可能性，尽管对点状电子所做的估计表明这种效应是不可观察的，因为当我们对电磁问题的半经典方法不起作用时，这种圆周运动的电子半径将比经典电子半径小得多。这是一个令人期待的结果，也是将这一思想应用于非阿贝尔色场控制的夸克世界的第一步，这是下一篇论文的主题。
英文摘要：
A small dipole oscillator moving along a circular trajectory in zero-point electromagnetic field ( ZPF ) and with a polarization normal to the rotation plane, is considered. Temporal periodicity conditions are imposed on ZPF, associated with the way the rotating oscillator observes ZPF. They are similar to spatial boundary conditions in Casimir phenomenon and therefore result in ZPF spectrum change from continuous one to a discrete one and, as a consequence, an effective temperature of the modified ZPF (Y. S. Levin ). The average centripetal average force on the oscillator, originating from this modified ZPF scattered by the oscillator in the near zone, is calculated in terms of the bilinear correlation functions of electromagnetic field. After renormalization of the correlation function, which physically means extraction of a pure effect of periodicity, the force has a finite value. All calculations are carried out using the methodology of stochastic electrodynamics. The radial component of the force is directed to the center of rotation. In non relativistic case and for oscillator frequency smaller than rotation frequency, the force turns out to be proportional to the rotation radius. Such result could mean a possibility that micro motion of the oscillator in ZPF sustains its average circular motion without any other external forces.Though the estimation done for the point-like electron shows that the effect is not observable because the radius of such circular electron motion would have been much smaller than the classical electron radius when our semi classical approach to the electromagnetic problem does not work. It is well expected result and considered as the first step in the application of the idea in the quark world governed by non abelian colored fields, subject of the next paper.
The discrete phase space continuous time representation of relativistic quantum mechanics involving a characteristic length $l$ is investigated. Fundamental physical constants such as $\hbar$, $c$, and $l$ are retained for most sections of the paper. The energy eigenvalue problem for the Planck oscillator is solved exactly in this framework. Discrete concircular orbits of constant energy are shown to be circles $S^{1}_{n}$ of radii $2E_n =\sqrt{2n+1}$ within the discrete (1 + 1)-dimensional phase plane. Moreover, the time evolution of these orbits sweep out world-sheet like geometrical entitie…
The Dirac-Moshinsky oscillator coupled to an external field and its connection to quantum optics
Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México（墨西哥国立自治大学物理科学研究所）；Universität Ulm, Institut für Quantenphysik（乌尔姆大学量子物理研究所）；Centro Internacional de Ciencias（国际科学中心）
We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables and diamagnetic susceptibility for some diatomic molecules bounded by the Isotropic oscillator plus inverse quadratic potential. The energy eigenvalues and normalized wavefunctions are obtained via parametric Nikiforov-Uvarov method. The expectation values square of position r2, square of momentum p2, kinetic energy T and potential energy V are obtained by applying Hellmann-Feynman theorem and an expression for the diamagnetic susceptibility X is also derived. Usi…
We revisit the (2+1)-dimensional DKP oscillator in an external magnetic field by means of 4x4 and 6x6 representations of the DKP field, thus obtaining several cases studied in the literature. We found an splitting in the frequency of the DKP oscillator according to the spin projection that arises as an interplay between the oscillator, the external field and the spin, from which the energies and the eigenfunctions are expressed in a unified way. For certain critical values of the magnetic field the oscillation in the components of spin projections -1 and 1 is cancelled. We study the thermodyna…
In this paper, We analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm (AB) magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterward, we introduce a static Coulomb-type scalar potential and subsequently with the same type of vector potential in the quantum system. We solve the generalized Klein-Gordon oscillator analytically for different functions (e.g. Coulomb- and Cornell-type functions) and obtain the bound-states solutions in each case. We discuss the effects of topological defects associated with the scalar cur…
Monitoring the resonantly driven Jaynes-Cummings oscillator by an external two-level emitter: A cascaded open-systems approach
我们解决的后果，反作用的单向耦合的两个级联的开放量子子系统连接到同一水库在不同的空间位置。在[H]的精神。J. Carmichael，Phys. Rev. Lett. 70，2273（1993）]，第二个子系统是一个二能级原子，而第一个子系统通过变化的光-物质耦合强度从受驱动的空腔转变为微扰QED构型，并最终转变为受驱动的Jaynes-Cummings（JC）振荡器。为了我们的目的，我们呼吁在第一个共振荧光的性质，在统计描述的辐射沿两个渠道-那些向前和侧向散射-包括监测输出。在最简单的情况下，一个空的腔耦合到一个外部原子，我们得到的非经典波动的分析结果，占据两个通道的字段，追求映射到坏腔的JC模型的限制，作为一个指导的描述更涉及的动力学。最后，我们讨论了一个临界JC振子共振耦合到一个外部监测的二能级靶的复合系统的条件演化，表明靶的相干原子振荡探测了源中二阶耗散量子相变的开始。
