Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions in more than One-Dimensional Configuration Spaces

An approximate formula is proposed for the decay rate of energy eigenfunctions in classically energetically inaccessible regions in more than one-dimensional configuration spaces. This is achieved by generalizing an approach proposed recently for energy eigenfunctions in the one-dimensional configuration space. The formula is tested numerically in the Pullen-Edmonds model.     

Energy loss in quantum tunnelling

The energy dissipated during the quantum decay of a metastable system which interacts with an environment at zero temperature is considered. It is found that quantum effects reduce the energy loss as compared to simple semiclassical estimates and that the decay is always possible for energetical reasons. Explicit results for the decay rate are obtained from the functional integral of the partition function.     

Quantum decay rate of a nonlinear dissipative system with fission-like potential nearT c

We use a thermodynamic scheme (imaginary free energy method) in terms of the path integral technique to study the quantum decay rates of a metastable state system coupled to a heat bath in the crossover temperature (T _c) region. In this region the transition between thermally activated decay and tunneling occurs. A nonlinear coupling form factor is used to overcome the divergent integral in the partition function nearT _c. The decay rate formula based on the steepest descent approximation has been improved. A method is developed to calculate the real and imaginary parts of the partition function which combines a random walk method with fast-Fourier transform Monte-Carlo evaluation. For a nonlinear dissipative system with a damping correlation kernel of exponential form, the accurate numerical calculations are presented. The effects of nonlinear and frequency-dependent damping on the rate are shown.     

中子在大气中产生氮俘获γ的蒙特卡罗模拟研究

为了精确计算早期核辐射,建立了中子及次级γ在大气中输运的蒙特卡罗计算模型,并利用几何分裂算法与时间分裂算法等减方差技巧提高计算效率,计算得到了距源点不同距离球面上中子与中子次级γ的信息,给出了不同位置不同时间的氮俘获γ能量释放率。开展了氮俘获γ能量释放率的规律性研究,并分析了中子能量对氮俘获γ的影响。结果表明,氮俘获γ能量释放率先随源点的距离增加而增大,在距源点约500 m达到峰值,而后随距离增加指数衰减。氮俘获γ能量释放率在时间上服从指数衰减规律,衰减时间在0.1 s左右。引入表征氮俘获γ辐射强度参数a和特征衰减时间参数τ,拟合得到了不同距离不同时间氮俘获γ能量释放率的快速计算公式。研究表明,氮俘获γ辐射强度、衰减时间及其空间分布均与中子能量密切相关。     

Spontaneous and induced decay of metastable strings and domain walls

We consider decay of metastable topological configurations such as strings and domain walls. The transition from a state with higher energy density to a state with lower one proceeds through quantum tunneling or through thermally catalyzed quantum tunneling (at sufficiently small temperatures). The transition rate is calculated at zero temperature including the preexponential factor and also at a finite low temperature. The thermal enhancement factor is closely related to the probability (effective length) of destruction of the string (the domain wall) in collisions of the Goldstone bosons, corresponding to transverse waves on the string (wall). We derive a general formula which allows to find the probability (effective length) of a string (wall) breakup by a collision of arbitrary number of the bosons. We find that the destruction of a string only takes place in collisions of even number of the bosons, while the destruction of the wall can occur in a collision of any number of particles. We explicitly calculate the energy dependence of such processes in two-particle collisions for arbitrary relation between the energy and the largest infrared scale (the size of a critical gap).     

On the temperature dependence of the phosphorescence of CaF2 : Mn phosphor in different atmospheres

The temperature dependence inthe region of 24–150°C of the phosphorescence of CaF₂ : Mn phosphor in the atmospheres of nitrogen gas, vacuum and moisture-saturated air were studied. A decay formula was found to adequately describe the rate of decay of the trapped electrons — which is assumed to be proportional to the amount of phosphorescence observed — in thermal traps. In nitrogen gas and vacuum the decay constants of the trapped electrons are dependent only on the storage temperature and not on the storage atmosphere of the phosphor. A slight effect of water on the rate of decay of the trapped electrons was also observed.     

On transformations of physical systems

A universal, unified theory of transformations of physical systems based on the propositions of probabilistic physics is developed. This is applied to the treatment of decay processes and intramolecular rearrangements. Some general features of decay processes are elucidated. A critical analysis of the conventional quantum theories of decay and of Slater's quantum theory of intramolecular rearrangements is given. It is explained why, despite the incorrectness of the decay theories in principle, they can give correct estimations of decay rate constants. The reasons for the validity of the Arrhenius formula for the temperature dependence of an intramolecular rearrangement rate constant are discussed. A criterion for the possibility of a proper intramolecular rearrangement is given. The issue of causality in quantum physics is settled.     

THEORY OF SOLITON GENERATION AND LATTICE RELAXATION I N POLYACETYLENE (Ⅱ) NOR-RADIATIVE TRANSITIONS

This is the second paper in a series devoted to the theorq of soliton and polaron generation in polyacetykne by both radiative and non-radiative processes. The general formalism presented in the first paper of this series which combines the lattice relaxatipn theory of multiphonon processes with the adiabatic self-consistency condition in terms of the Bogoliubovde Gennei equation and the gap equatibn, is applied in this paper to explicit calculation of the non-radiative decay rate of an electron(ho1e) into a plaron and that of an electron-hole pair into a soliton pair in plyacetylene. A heuristic derivation for the formula of non-radiative decay rate is given to elucidate the physical meaning of the approximation invol-ved in the case of low temperature and strong coupling. The matrix elements between multi-electron states are estimated in the Hartree approximation using the single electron states obtained as solutions of the Bogoliubov-de Gennes equation. The result obtained is compared with the numerical calculations on a discrete model.     

Thermal enhancement of the quantum decay rate in a dissipative system

The quantum decay of a metastable system which interacts with an environment at temperatureT is considered. A general formula for the decay rate at finite temperatures is obtained by a method which is based on the framework recently described by Caldeira and Leggett. The thermal enhancement of the tunnelling rate at low temperatures is discussed for arbitrary metastable potentials, and it is found that the exponent of the rate obeys a power law in a dissipative system. The power law exponent is shown to be a characteristic feature of the dissipative mechanism. Finally, a universally valid formula for the thermal enhancement factor is given, where the form of the potential enters only through the frequency of small oscillations about the metastable minimum and the length of the zero temperature bounce trajectory.     

Dependence of cross-relaxation on temperature and concentration from the 1D2 level of Pr3+ in YPO4

We report on the role of cross-relaxation in the decay of the ¹D₂ level of trivalent Pr in YPO₄ in crystals with Pr concentrations of 0.1%, 1%, 2%, and 5%. We have found that the ¹D₂ level decay is purely radiative in the low-doped system. As the Pr concentration is increased, the ¹D₂ luminescence is quenched due to a cross-relaxation energy transfer between two Pr ions. The temporal behavior of the ¹D₂ luminescence following pulsed excitation has been monitored in each sample at temperatures between 30 K and 300 K, and all decay curves were fit to the Yokota–Tanimoto model. The decay times decrease as temperature increases, due to an increase in both the radiative rate and the energy transfer rate with temperature. There is little evidence of diffusion at any temperature, even in the more concentrated samples. We have also fit the decay curves using the LumiTrans computer simulation. A comparison of the fits to the decay curves of the two methods is presented.     

Spontaneous Decay of Resonant Energy Levels for Molecules with Moving Nuclei

We consider the Pauli-Fierz Hamiltonian with dynamical nuclei and investigate the transitions between the resonant electronic energy levels under the assumption that there are no free photons in the beginning. Coupling the limits of small fine structure constant and of heavy nuclei allows us to prove the validity of the Born-Oppenheimer approximation at leading order and to provide a simple formula for the rate of spontaneous decay.     

超高速碰撞天然白云石板产生闪光的辐射温度

为研究超高速碰撞天然白云石板产生闪光温度衰减阶段的演化特征,利用二级轻气炮和瞬态光纤高温计,进行入射角度(与靶板平面的夹角)为45°、碰撞速度分别为1.9,4.2km/s两种条件下的超高速碰撞实验。根据冲击波理论,推导出超高速碰撞天然白云石板产生闪光温度衰减阶段的半理论半经验公式。分析结果表明,弹丸撞击靶板的速度越高,闪光辐射温度衰减的持续时间越长。闪光辐射温度衰减阶段的理论推导与实验数据一致性较好,闪光辐射温度衰减阶段的理论推导可对类似碰撞问题闪光辐射温度衰减阶段进行预估。     

Low energy theorems in a nonlocal chiral quark model at finite temperature

We solve the Dyson equation and the Bethe-Salpeter equation for a nonlocal effective quark interaction kernel which is instantaneous and separable. The momentum-dependent dynamical quark mass, the scalar and pseudoscalar meson masses, the pion decay constant and the quark meson coupling constant are calculated at finite temperature in the Hartree approximation for the quark self energy. We obtain relations between these quantities, which coincide to leading order in the current quark mass (m ₀/Δm) with the basic low energy theorems: the Goldstone theorem, the Gell-Mann-Oakes-Renner relation and the Goldberger-Treimann relation at finite temperature. A formula for the σ?π mass gap is obtained which exhibits an additional contribution from the momentum dependence of the quark mass.     

闪电消散过程等离子体温度衰减规律的理论研究

利用流体运动方程、连续性方程和能量守恒方程,对自然闪电回击后的消散过程建立数学模型,计算了等离子体温度随时间和空间的变化规律.结果分析表明：在相同的通道半径处,前期温度随时间衰减较快,后期较慢,并且,初始温度越高,衰减越快;随着半径的增大,温度的衰减幅度逐渐减小.同一时刻,半径小的位置温度梯度较小,半径大的位置温度梯度较大.由衰减到NO冻结温度的时间和位置,初步推断氮氧化物（NO_x）生成主要在闪电冲击波之后50 ms内、半径R=9 mm的等离子体通道内. 关键词： 闪电消散过程 等离子体 温度     

非结构网格上温度扩散方程的能流计算方法

讨论非结构网格上温度扩散方程的能流计算方法.应用有限点方法(Finite Point Method,简称FPM)导出基于有限点两点公式和三点公式的能流计算公式,该公式适用于任意多边形及非匹配网格等非结构网格;给出网格角点温度新的计算公式.数值试验表明:基于两点公式的离散解和基于三点公式的离散解均具有平方阶的收敛速度;基于三点公式的离散解的精度总优于基于两点公式的离散解.     

Time-resolved OSL studies on BeO ceramics

Time-Resolved Optically Stimulated Luminescence (TR-OSL) from BeO ceramics was investigated using a blue laser (445 nm) as stimulation light source. It was observed that, at relatively low dose levels (up to ∼25 Gy) the TR-OSL decay curve can be approximated with a single exponential decay function with a lifetime of ∼26 μs at room temperature. Beyond 25 Gy a new decay component with a lifetime of a ∼2 μs was observed in addition to the ∼26 μs component. Thermal stability, radiation dose response, optical bleaching, measurement temperature dependence of the components of the TR-OSL signal were investigated in detail. As result of these studies, a new OSL component which becomes unstable after 150 °C was observed. OSL decay rate of this component was found to be higher than the one which becomes unstable after 300 °C. In order to obtain information about the temperature dependence of the luminescence efficiency, luminescence emission lifetime was determined in the temperature range from 30 to 130 °C with 10 °C steps. Using the temperature dependence of the lifetime, thermal quenching energy was determined to be around 0.56 eV for the 26 μs component. For the ∼2 μs component an enhancement in the component intensity was observed pointing to a thermally assisted process with activation energy of 0.15 eV.     

研究温度波的传播特性

根据振动与波的原理,把样品上某点温度随时间的周期性变化看作一种振动,把这种温度变化向外传播的过程看作波动,引进温度波,说明样品上各点温度随时间、距离的变化;采用一维模型,写出温度波的传播方程.考虑到样品(铜棒)散热,引进衰减系数,描述温度幅度随频率及传播距离的变化关系.利用傅里叶变换分析实验数据,得到温度波幅度与角频率、位置的对应关系.根据温度幅度衰减公式拟合数据,算出基频及倍频对应的衰减系数.结果说明:衰减系数与温度波的频率相关,温度波的频率越高,衰减系数越大,温度幅度衰减得越快.     

Research on some superheavy nuclei

Studies on some superheavy nuclei are performed. The α decay energies are calculated by an improved local binding energy formula, and the α decay half-lives are calculated by the Viola-Seaborg formula. Good agreements between theoretical and experimental results are reached.     

Lifetimes of thermally fixed holograms in LiNbO(3):Fe crystals

The thermal erasure decay at different temperatures of holographic gratings thermally fixed in iron-doped lithium niobate has been exhaustively studied. An activation energy of 0.94 eV was found to be independent of the grating fringe spacing. At a given temperature the decay time is strongly dependent on the grating spacing. This dependence is well fitted to a square fringe spacing law, as predicted theoretically. From the experimental data the room-temperature hologram lifetime under illumination is extrapolated, giving as a result t(years)=(5.2+/-0.2)?(2) , with the grating spacing ? in micrometers.