量子点中极化子的内部激发态性质

采用Huybrechts线性组合算符和幺正变换方法研究了抛物量子点中的强、弱耦合极化子的激发态性质。分别导出强、弱耦合情况下,抛物量子点中的极化子的第一内部激发态能量、激发能量、共振频率与量子点的有效受限长度和电子-声子耦合强度的关系。数值计算结果表明,量子点中弱耦合和强耦合极化子的内部激发态能量、激发能量和共振频率都随量子点的有效受限长度的减小而迅速增大。弱耦合极化子的第一内部激发态能量随电子-声子耦合强度的增加而减少;而强耦合极化子的振动频率随量子点的有效受限长度的减小而迅速增加。弱耦合极化子的第一内部激发态能量、激发能量和共振频率随电子-声子耦合强度的增加而减小。     

Fourier analysis of the parametric resonance in neutrino oscillations

Parametric enhancement of the appearance probability of the neutrino oscillation under the inhomogeneous matter is studied. Fourier expansion of the matter density profile leads to a simple resonance condition and manifests that each Fourier mode modifies the energy spectrum of oscillation probability at around the corresponding energy; below the MSW resonance energy, a large-scale variation modifies the spectrum in high energies while a small-scale one does in low energies. In contrast to the simple parametric resonance, the enhancement of the oscillation probability is itself an slow oscillation as demonstrated by a numerical analysis with a single Fourier mode of the matter density. We derive an analytic solution to the evolution equation on the resonance energy, including the expression of frequency of the slow oscillation.     

Observation of atomic-number-dependent hot electrons due to the resonance absorption in laser plasmas

Various hot electron temperatures depending on atomic number were measured in laser plasmas produced by a YAG laser with energy 100 mJ and pulseduration 30 ps, as was reported in our previous paper. In the present work the absorbed laser energy was evaluated as a function of the angle of incidence for both p-polarized and s-polarized beams. For carbon plasmas, it was found that the absorbed energy depends on the angle of incidence and this effect was attributed to resonance absorption. For aluminum plasmas, the resonance absorption did not occur. These results confirmed that hot electrons shown in the X-ray continuum spectrum described in the previous paper were generated by resonance absorption.     

分子振动光谱中费米共振效应的理论研究

本文考虑了分子振动非谐性所引起的振动能级之间的费米共振相互作用,利用定态微扰论,从理论上系统地分析了两态和三态之间的费米共振相互作用对能级能量、态函数和谱线强度的影响,在三阶非谐性近似下,得到了计及费米共振相互作用在内的能级能量、态函数和谱线强度的数学解析表达式.     

Autoparametric vibration absorber effect to reduce the first symmetric mode vibration of a curved beam/panel

This paper presents the implementation of autoparametric phenomena to reduce the symmetrical vibration of a curved beam/panel under external harmonic excitation. The internal energy transfer of a first symmetric mode into first anti-symmetric mode in a curved panel is one example of autoparametric vibration absorber effect. This is similar to the vibration energy transfer from the resonance of a primary structure to the resonance of a secondary spring–mass (tuned mass damper). The nonlinear response of a curved beam is analyzed using an equation with two modes, and a shaker test. The effect of different configurations of the curve beam/panel, including damping ratios and excitation levels, on the energy transfer of the first symmetric mode to the first anti-symmetric mode was studied.The conventional tuned mass damper (TMD) can reduce the resonance response by energy transfer using damping dissipation, whereas an autoparametric vibration absorber (AVA) can reduce the resonance response by energy transfer using parametric interaction. The results indicate that there is a non-absorption region in which vibration is amplified. For the AVA, the non-absorption region can be minimized by tuning the resonance frequency of the first anti-symmetric mode to half of the first symmetric mode resonance frequency using additional mass. No additional damping material is required for achieving sufficient vibration reduction. The AVA can maintain reliable performance in hot and corrosive environments where damping material cannot perform effectively. This paper presents the first successful experimental results of an autoparametric vibration absorption mechanism in a curved beam.     

Accurate determination of the LEP beam energy by resonant depolarization

To improve the measurements of the Z boson mass and resonance width, the 1993 Large Electron Positron Collider (LEP) run was devoted to a three point beam energy scan, with one point close to the peak of the Z resonance and two points roughly 880 MeV below and above the peak. Operational energy calibration by resonant depolarization was successfully commissioned for all three beam energies. 24 energy calibrations were performed at the end of physics fills. The accuracy of each calibration is better than 1 MeV. About one third of the total integrated luminosity was recorded in calibrated fills below and above the resonance and a regular tracking of the beam energies throughout the scan was possible. The evolution of the beam energies in the course of the year showed a large variation of up to 20 MeV. Results from the energy calibrations will be presented and possible explanations for the changes of the beam energy during the year will be described.     

谐振子基在复标度方法中的应用

在利用薛定谔方程求解共振态能量的过程中,成功的将谐振子基应用于复标度方法,求解出共振态的能量公式,并以一个比较成熟的势作为检验势,得出比较精确的结果,也作出共振态能量在复能量坐标系中的能量分布.对其中的两个参数基数N和转动角θ进行讨论与分析,验证了共振态的一个原理:在对共振态的计算过程中,计算参数的改变不会影响共振态的位置.     

Energy limit of runaway electrons in the HT-7 tokamak

The energy limit of runaway electrons in the HT-7 tokamak is investigated by measuring the synchrotron radiation originated from the runaway electrons and the hard X-ray radiation (HXR) when they hit the first wall. An upper boundary on the runaway energy can appear due to the resonance between the electron gyromotion and the magnetic field ripple in the low field side. The experimental derived maximum energy in the core is about 26 MeV, and maximum energy in the edge region is blocked to no more than 5 MeV. This resonance interaction of runaways with the nth harmonic of the magnetic field ripple can account for the observed energy gap of the runaways.     

谐振子基在复标度方法中的应用

在利用薛定谔方程求解共振态能量的过程中，成功的将谐振子基应用于复标度方法，求 解出共振态的能量公式，并以一个比较成熟的势作为检验势，得出比较精确的结果，也作出共振态能量在复能量坐标系中的能量分布。对其中的两个参数基数N和转动角µ进行讨论与分析，验证了共振态的一个原理：在对共振态的计算过程中，计算参数的改变不会影响共振态的位置。     

Orbital response of evanescent cooper pairs in paramagnetically limited Al films

We report a detailed study of the pairing resonance via tunneling density of states in ultrathin superconducting Al films in supercritical magnetic fields. Particular emphasis is placed on the effects of the perpendicular component of the magnetic field on the resonance energy and magnitude. Though the resonance is broadened and attenuated by H(perpendicular) as expected, its energy is shifted upward linearly with H(perpendicular). Extension of the original theory of the resonance to include strong perpendicular fields shows that at sufficiently large H(perpendicular) the overlap of the broadened resonance tail with the underlying degenerate Fermi sea alters the spectral distribution of the resonance via the exclusion principle. This leads to the shift of the resonance feature to higher energy.     

Study of anomalous subbarrier fission of Np-237 using an SVZ-100 lead slowing-down neutron spectrometer

In addition to the well studied complex resonance of subbarrier fission of Np-237 at the neutron energy of 39 eV, intense anomalous fission resonances are detected at the SVZ-100 spectrometer. The energy of the first resonance is lower than 0.3 eV. The second resonance creates an energy dependence of the cross section according to the law 1/v, extrapolation of which to the thermal energy yielded the value of 17 barn. The third resonance at short times of neutron slowing down is characterized by a cross section no lower than 1.4 barn. The fission cross sections in these anomalous resonances exceed available data by two orders of magnitude and larger.     

Nonlinear resonance absorption in the laser-cluster interaction

Rare-gas or metal clusters are known to absorb laser energy very efficiently. Upon cluster expansion, the Mie plasma frequency may become equal to the laser frequency. This linear resonance has been well studied both experimentally and theoretically employing pump probe schemes. In this work, we focus on the few-cycle regime or the early stage of the cluster dynamics, where linear resonance is not met but, nevertheless, efficient absorption of laser energy persists. By retrieving time-dependent oscillator frequencies from particle-in-cell simulation results, we show that nonlinear resonance is the dominant mechanism behind outer ionization and energy absorption in near infrared laser-driven clusters.     

Study of the energy levels of 62Ni using the (γ, γ′) reaction

Elastic and inelastic scattering of monochromatic photons were used for studying nuclear energy levels in ⁶²Ni; the photons were produced by thermal neutron capture in iron. The energy of the resonance level in ⁶²Ni was 7646 keV. The angular distributions of the elastic and two inelastic lines were measured and the corresponding level spins determined. The parity of the resonance level was found to be odd using polarization measurements.     

Capture into resonance: a method for efficient control

To achieve large changes in adiabatic invariants using small control input, a conservative dynamical system must possess an internal resonance. Capture into resonance is an inherently probabilistic process. We propose a control method to make it more structured. We study the motion of charged particles in an electromagnetic field as an example of such a system. When the nominal dynamics brings particles close to a resonance surface, a short control pulse forces the capture of a particle into the resonance with the wave. A captured particle is transported by the wave across the energy levels. The second pulse releases a particle from the resonance when the desired energy level is achieved. We discuss the distribution of energy achieved by the method.     

Excitation of the lower-hybrid resonance at the plasma edge by ICRFcouplers

A simple model is presented and used to examine the inadvertent excitation of the lower-hybrid resonance by fast wave couplers. Loading resistances due to this effect are found to be of the order of 0.1 Ω for present-generation experiments and increase with the toroidal magnetic field. An upper-bound estimate of 1 keV is obtained for the energy transferred to edge ions by the resonance     

随机共振控制的频率匹配方法

根据非线性双稳系统在噪声和弱周期信号作用下产生随机共振的随机同步条件，提出了随机共振控制的频率匹配方法.理论分析和数值仿真结果表明，随机共振是可控制的，通过控制输入信号的频率和噪声的统计特性，不仅能拓宽产生随机共振的频率范围，而且能增强共振的强度，从而实现有更多的噪声能量转换为信号能量. 关键词： 随机共振 非线性双稳系统 频率匹配 控制     

Dependence of resonance energy transfer on exciton dimensionality

We investigate the dependence of resonance energy transfer from Wannier-Mott excitons to an organic overlayer on exciton dimensionality. We exploit the excitonic potential disorder in a single quantum well to tune the balance between localized and free excitons by scaling the Boltzmann distribution of excitons through temperature. Theoretical calculations predict the experimentally observed temperature dependence of resonance energy transfer and allow us to quantify the contribution of localized and free excitons. We show that free excitons can undergo resonance energy transfer with an order of magnitude higher rate compared to localized excitons, emphasizing the potential of hybrid optoelectronic devices utilizing resonance energy transfer as a means to overcome charge transfer related limitations.     

Strong optical transmission through the ellipsoid metal-film nanohole arrays

The transmission characteristics of a metallic film with subwavelength ellipsoid nanohole arrays are investigated by using the three-dimensional finite-difference time-domain (3D-FDTD) method. The extraordinary transmission is attributed to the collaboration of localized waveguide resonance and surface plasmon resonance. The influences of the lattice constant and the hole shape on the transmission are studied. By analyzing the picture of electric field and electromagnetic energy distribution, we show the mechanisms of the two different resonances: Localized waveguide resonance mode can be confined inside the ellipsoid holes region, while electric field and electromagnetic energy are localized separately at the two ends of ellipsoid holes for the surface plasma resonance mode. Supported by the National Natural Science Foundation of China (Grant No. 60708014), the Distinguished Youth Foundation of Hunan Province (Grant No. 03JJY1008), the Science Foundation for Post-doctorate of China (Grant No. 2004035083), and the Natural Science Foundation of Hunan Province (Grant No. 06JJ20034)     

Rashba effect of the bound magnetopolaron in an asymmetry quantum well

Using Pekar variational method, we studied the Rashba effect of the bound magnetopolaron in an asymmetry quantum well. The expression of the ground state energy of the bound magnetopolaron is obtained by theoretical derivation. Due to the influence of the Rashba effect, the ground state energy of the bound magnetopolaron splits into two branches. This phenomenon fully demonstrates that the influence of orbit and spin interaction in different directions on the energy of the polaron is not negligible. Because the contribution of the magnetic field cyclotron resonance frequency to the Rashba spin–orbit splitting is a positive value, the energy spacing becomes larger as the magnetic field cyclotron resonance frequency increases. Due to the presence of impurities, the polaron is more stable than the bare electron state, and the energy splitting is more stable.