驻波的能量特点与普朗克黑体辐射公式

在分析介质中驻波形成时波的能量特征的基础上,阐述了驻波中的波节数、振动方式数与谐振子数之间的对应关系,把两相邻波节之间的能量等效成谐振子的能量,从而使求解驻波的能量问题转化为求谐振子的能量问题,并以黑体空腔为模型的热辐射问题为例,采用了一种较为简明的方法推导出黑体辐射的瑞利-金斯公式和普朗克公式。     

光的本性理论研究新进展

将光场的量子化问题转化为一维简谐振子的量子化问题 ,然后利用概率论和变分法 ,直接从经典谐振子的哈密顿量导出一维简谐振子的薛定谔方程 ,从而发现 ,光只是一种电磁波。光场的能量、动量量子化起源于电磁场振动模能量、动量的统计平均。在此理论中 ,约化普朗克常数作为一个参数自然地出现。     

乘用车排气系统模态分析数值模型研究

在发动机及路面激励下，排气系统振动能量通过吊挂传递至车身，导致车身振动并产生结构声，严重影响到乘用车的NVH性能．主要对乘用车排气系统模态分析数值模型进行研究，对多个模型进行试验相关性分析，得到最合理的排气系统简化数值分析模型．采用该模型对某排气系统进行了模态分析，确定了合适的吊挂位置，降低了车身振动和车内噪声水平．     

含时谐振子的双波描述

用双波函数理论研究了频率含时的谐振子,通过对位移,动量,能量等物理理的计算表明,该谐振子作准谐振运动,能量不是守恒量,而当频率变成常数时,其结果还原为通常的简谐振子的双波描述。     

振动磨简体内部的能量传递规律

在对大量摄像实验反复观测和研究后发现:磨筒内的磨介存在抛射、整体回转和本身自转3种运动状态;磨介与筒壁的抛离与接触是沿着振动方向发生的,此过程是周期性的,其周期与振动周期相同．在此基础上,建立了粉磨介质冲量传递模型,探讨了振动磨简体内部的冲量传递、能量传输和能量耗散的分布规律,揭示了振动磨的粉碎机理．以此为理论依据,提出了减小磨筒内的惰性区、提高粉磨效率的途径．     

水分子振动体系动力学研究

在动力学群得到的水分子Hamiltonian的基础上,求解正则运动方程,计算固定键角近似下水分子振动体系的庞加莱截面、采用wolf重构法计算振动体系的最大Lyapunov指数．计算结果显示：对于四维振动体系,庞加莱截面只能反映体系局域的行为;非线性耦合和能量的局域化导致振动体系的混沌,强非线性耦合也导致体系的准周期运动．     

关于非简谐振子双基态及其能级的讨论

通过严密推导得出非简谐振子各算符间的对易关系及其对能量本征态的作用。导出了参数Ａ满足的条件和非简谐振子基态能量表达式，并讨论了参数Ａ与非简谐振子基态能量之间的关系。     

利用坐标变换精确求解二维耦合谐振子的能量本征值

利用坐标变换研究了二维耦合谐振子能量本征值问题，给出了变换矩阵的一般形式及二维耦合波色谐振子能量本征值的精确解．     

蜂窝纸板动态缓冲特性及振动传递特性的试验研究

基于跌落冲击试验和振动试验，研究了4种不同厚度的蜂窝纸板的缓冲防振性能，获得了动态缓冲曲线的经验公式及其特征系数，振动传递率曲线的峰值频率、传递率及阻尼比，为蜂窝纸板在缓冲防振包装中的推广应用提供了基本数据．试验结果表明：蜂窝纸板的动态缓冲曲线呈凹谷状，开口向上，只有一个极小值点，冲击加速度波形近似于半正弦波，冲击作用时间较长，吸收的冲击能量较大，具有优良的动态缓冲特性；振动传递特性具有多模态性，有主次之分，对高频振动有显著的衰减性．     

二维谐振子与二维氢原子的能量及波函数关系

通过坐标转换,找出了二维谐振子与二维氢原子的能量及波函数之间的对应关系．     

平方反比势非谐振子方程的本征解及参数分析

以含有平方反比项势函数V(x)=x2/2 g/(2x2)的非简谐振子为基本模型,在坐标表象中精确求解了此类谐振子所遵从的能量本征值方程,对非谐振参数和能级公式作了比较深入地讨论.     

Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode

Optical laser fields have been widely used to achieve quantum control over the motional and internal degrees of freedom of atoms and ions, molecules and atomic gases. A route to controlling the quantum states of macroscopic mechanical oscillators in a similar fashion is to exploit the parametric coupling between optical and mechanical degrees of freedom through radiation pressure in suitably engineered optical cavities. If the optomechanical coupling is 'quantum coherent'--that is, if the coherent coupling rate exceeds both the optical and the mechanical decoherence rate--quantum states are transferred from the optical field to the mechanical oscillator and vice versa. This transfer allows control of the mechanical oscillator state using the wide range of available quantum optical techniques. So far, however, quantum-coherent coupling of micromechanical oscillators has only been achieved using microwave fields at millikelvin temperatures. Optical experiments have not attained this regime owing to the large mechanical decoherence rates and the difficulty of overcoming optical dissipation. Here we achieve quantum-coherent coupling between optical photons and a micromechanical oscillator. Simultaneously, coupling to the cold photon bath cools the mechanical oscillator to an average occupancy of 1.7?±?0.1 motional quanta. Excitation with weak classical light pulses reveals the exchange of energy between the optical light field and the micromechanical oscillator in the time domain at the level of less than one quantum on average. This optomechanical system establishes an efficient quantum interface between mechanical oscillators and optical photons, which can provide decoherence-free transport of quantum states through optical fibres. Our results offer a route towards the use of mechanical oscillators as quantum transducers or in microwave-to-optical quantum links.     

耦合谐振子的量子绝热捷径设计

量子绝热捷径技术旨在加快量子绝热慢过程, 已经被广泛用于原子的冷却、转移等量子信息处理过程. 研究耦合谐振子模型的量子绝热捷径设计及其热机应用, 基于耦合谐振子模型的量子不变量, 首先得到 Ermakov 方程, 然后反设计耦合谐振子频率, 最终加快绝热过程而不产生末态激发. 本工作为耦合谐振子的量子态操控及超绝热量子热机提供了新思路.     

Generation of Fock states in a superconducting quantum circuit

Spin systems and harmonic oscillators comprise two archetypes in quantum mechanics. The spin-1/2 system, with two quantum energy levels, is essentially the most nonlinear system found in nature, whereas the harmonic oscillator represents the most linear, with an infinite number of evenly spaced quantum levels. A significant difference between these systems is that a two-level spin can be prepared in an arbitrary quantum state using classical excitations, whereas classical excitations applied to an oscillator generate a coherent state, nearly indistinguishable from a classical state. Quantum behaviour in an oscillator is most obvious in Fock states, which are states with specific numbers of energy quanta, but such states are hard to create. Here we demonstrate the controlled generation of multi-photon Fock states in a solid-state system. We use a superconducting phase qubit, which is a close approximation to a two-level spin system, coupled to a microwave resonator, which acts as a harmonic oscillator, to prepare and analyse pure Fock states with up to six photons. We contrast the Fock states with coherent states generated using classical pulses applied directly to the resonator.     

Coupled quantized mechanical oscillators

The harmonic oscillator is one of the simplest physical systems but also one of the most fundamental. It is ubiquitous in nature, often serving as an approximation for a more complicated system or as a building block in larger models. Realizations of harmonic oscillators in the quantum regime include electromagnetic fields in a cavity and the mechanical modes of a trapped atom or macroscopic solid. Quantized interaction between two motional modes of an individual trapped ion has been achieved by coupling through optical fields, and entangled motion of two ions in separate locations has been accomplished indirectly through their internal states. However, direct controllable coupling between quantized mechanical oscillators held in separate locations has not been realized previously. Here we implement such coupling through the mutual Coulomb interaction of two ions held in trapping potentials separated by 40?μm (similar work is reported in a related paper). By tuning the confining wells into resonance, energy is exchanged between the ions at the quantum level, establishing that direct coherent motional coupling is possible for separately trapped ions. The system demonstrates a building block for quantum information processing and quantum simulation. More broadly, this work is a natural precursor to experiments in hybrid quantum systems, such as coupling a trapped ion to a quantized macroscopic mechanical or electrical oscillator.     

二维各向同性谐振子径向矩阵元的递推公式

推导出二维各向同性谐振子径向矩阵元所满足的递推关系，在此基础上得出了平均值的递推公式，并讨论了二维和三维各向同性谐振子公式的参数对应关系，弥补了二维各向同性谐振子献的不足。     

外加电场下谐振子量子线的电子拉曼散射

文章研究了外加电场下谐振子量子线的电子拉曼散射.利用有效质量近似,以GaAs材料为例,计算了微分散射截面,结果表明,谐振子频率和外加电场的强度对拉曼光谱均有影响.拉曼光谱的峰值随着外加电场强度的增大而增大;在恒定的外加电场下,与电场方向相同的谐振子频率只影响峰值的大小,而与电场方向垂直方向的谐振子频率还对峰值的位置有影...     

三维各向同性谐振子的升、降算子

本文利用在粒子数表象中三维各向同性谐振子的升、降算子、推导出在坐标表象中三维各向同性谐振子的升、降算子并求出对三维各向性谐振的三个量子数（N,l,m)的升、降算子。     

具有坐标二阶和动量一阶耦合的两量子谐振子的演化

在Ｄａｎｔａｓ等人所作量子振子工作的基础上提出了二个相互耦合的量子谐振子的演化问题，通过引进几个算符和辅助函数，求出了问题的精确解。