The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 （2006） 3380]. Based on these calculations we have done...The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 （2006） 3380]. Based on these calculations we have done some statistics analysis about the high Rydberg energy levels. The nearest-neighbor energy spacing distribution and the 3-statistics have been shown about diamagnetic Rydberg hydrogen atom with the magnetic field being 0.6 T and 6 T. The phenomena of multiply crossing, multiply anti-crossing, and the mixed of crossing and anti-crossing of energy levels have appeared in this paper. For both cases, in range of lower energy, the energy 1evel statistics properties close to Poisson distribution. With the increasing of the energy, the energy level statistics properties are away to Poisson distribution and tend to Wigner distribution step by step.展开更多
The quantization thermal excitation isotherms based on the maximum triad spin number (G) of each energy level for metal cluster were derived as a function of temperature by expanding the binomial theorems according to...The quantization thermal excitation isotherms based on the maximum triad spin number (G) of each energy level for metal cluster were derived as a function of temperature by expanding the binomial theorems according to energy levels. From them the quantized geometric mean heat capacity equations are expressed in sequence. Among them the five quantized geometric heat capacity equations, fit the best to the experimental heat capacity data of metal atoms at constant pressure. In the derivations we assume that the triad spin composed of an electron, its proton and its neutron in a metal cluster become a basic unit of thermal excitation. Boltzmann constant (kB) is found to be an average specific heat of an energy level in a metal cluster. And then the constant (kK) is found to be an average specific heat of a photon in a metal cluster. The core triad spin made of free neutrons may exist as the second one additional energy level. The energy levels are grouped according to the forms of four spins throughout two axes. Planck constant is theoretically obtained with the ratio of the internal energy of metal (U) to total isotherm number (N) through Equipartition theorem.展开更多
建立了双层铝合金型材与声场高频振动的统计能量分析(statistical energy analysis-SEA)模型,以动力学力激励作为系统的能量输入,计算了铝合金型材和声场的动力学响应,比较了不同板厚度、位置对振动速度和对声场声压级的影响,计算表明...建立了双层铝合金型材与声场高频振动的统计能量分析(statistical energy analysis-SEA)模型,以动力学力激励作为系统的能量输入,计算了铝合金型材和声场的动力学响应,比较了不同板厚度、位置对振动速度和对声场声压级的影响,计算表明靠近载荷的子系统具有更大的振动速度,板越薄振动速度越大,声场声压级越高,板厚度每减小0.5 mm声场声压级增加约1 dB.研究结果表明,统计能量法可有效计算铝合金型材的高频振动噪声,研究对基于统计能量的整车高频声振分析有重要意义.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10774042
文摘The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 （2006） 3380]. Based on these calculations we have done some statistics analysis about the high Rydberg energy levels. The nearest-neighbor energy spacing distribution and the 3-statistics have been shown about diamagnetic Rydberg hydrogen atom with the magnetic field being 0.6 T and 6 T. The phenomena of multiply crossing, multiply anti-crossing, and the mixed of crossing and anti-crossing of energy levels have appeared in this paper. For both cases, in range of lower energy, the energy 1evel statistics properties close to Poisson distribution. With the increasing of the energy, the energy level statistics properties are away to Poisson distribution and tend to Wigner distribution step by step.
文摘The quantization thermal excitation isotherms based on the maximum triad spin number (G) of each energy level for metal cluster were derived as a function of temperature by expanding the binomial theorems according to energy levels. From them the quantized geometric mean heat capacity equations are expressed in sequence. Among them the five quantized geometric heat capacity equations, fit the best to the experimental heat capacity data of metal atoms at constant pressure. In the derivations we assume that the triad spin composed of an electron, its proton and its neutron in a metal cluster become a basic unit of thermal excitation. Boltzmann constant (kB) is found to be an average specific heat of an energy level in a metal cluster. And then the constant (kK) is found to be an average specific heat of a photon in a metal cluster. The core triad spin made of free neutrons may exist as the second one additional energy level. The energy levels are grouped according to the forms of four spins throughout two axes. Planck constant is theoretically obtained with the ratio of the internal energy of metal (U) to total isotherm number (N) through Equipartition theorem.
文摘建立了双层铝合金型材与声场高频振动的统计能量分析(statistical energy analysis-SEA)模型,以动力学力激励作为系统的能量输入,计算了铝合金型材和声场的动力学响应,比较了不同板厚度、位置对振动速度和对声场声压级的影响,计算表明靠近载荷的子系统具有更大的振动速度,板越薄振动速度越大,声场声压级越高,板厚度每减小0.5 mm声场声压级增加约1 dB.研究结果表明,统计能量法可有效计算铝合金型材的高频振动噪声,研究对基于统计能量的整车高频声振分析有重要意义.
